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	1102b	Isogeny class
Conductor	1102	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5632	Modular degree for the optimal curve
Δ	-44964012621824 = -1 · 232 · 192 · 29	Discriminant
Eigenvalues	2+  3 -1  2  3 -1  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-6625,385277]	[a1,a2,a3,a4,a6]
j	-32160162425274729/44964012621824	j-invariant
L	2.3038349844989	L(r)(E,1)/r!
Ω	0.57595874612474	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8816n1 35264o1 9918n1 27550w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1102b1

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
+	3	-1	2	3	-1	6	+	-4	-	-5	-6	4	11	-7	13	12	4	4	0	-14	-7	-16	12	-8

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Quadratic twists for elliptic curve 1102b1

-4	8	-3	5	-7	-19	29
8816n1	35264o1	9918n1	27550w1	53998i1	20938h1	31958m1

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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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