Cremona's table of elliptic curves

1110 = 2 · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 37-	Signs for the Atkin-Lehner involutions
Class	1110d	Isogeny class
Conductor	1110	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-674325000 = -1 · 23 · 36 · 55 · 37	Discriminant
Eigenvalues	2+ 3+ 5-  3 -5 -2 -7 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,203,-491]	[a1,a2,a3,a4,a6]
Generators	[13:61:1]	Generators of the group modulo torsion
j	918046641959/674325000	j-invariant
L	1.820651525296	L(r)(E,1)/r!
Ω	0.90507619500766	Real period
R	0.20116002777872	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	8880bc1 35520y1 3330r1 5550bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110d1

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	-5	-2	-7	-2	4	-5	-7	-	1	9	0	3	-14	-7	-4	8	-12	4	-10	-14	1

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Quadratic twists for elliptic curve 1110d1

-4	8	-3	5	-7	37
8880bc1	35520y1	3330r1	5550bh1	54390v1	41070s1

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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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