Cremona's table of elliptic curves

1102 = 2 · 19 · 29

Field	Data	Notes
Atkin-Lehner	2- 19+ 29-	Signs for the Atkin-Lehner involutions
Class	1102d	Isogeny class
Conductor	1102	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	13440	Modular degree for the optimal curve
Δ	-25506633103560704 = -1 · 212 · 192 · 297	Discriminant
Eigenvalues	2- -1  3 -4 -5 -1 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-28114,-7906977]	[a1,a2,a3,a4,a6]
Generators	[273:2067:1]	Generators of the group modulo torsion
j	-2457494752156086817/25506633103560704	j-invariant
L	3.1537472408136	L(r)(E,1)/r!
Ω	0.16008637568851	Real period
R	0.11726360175315	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8816j1 35264l1 9918f1 27550f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1102d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-1	3	-4	-5	-1	-4	+	-8	-	-1	-2	6	11	1	13	-6	-12	10	-12	-12	-3	-6	14	-16

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Quadratic twists for elliptic curve 1102d1

-4	8	-3	5	-7	-19	29
8816j1	35264l1	9918f1	27550f1	53998u1	20938c1	31958f1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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