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	1110a	Isogeny class
Conductor	1110	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	80	Modular degree for the optimal curve
Δ	-3330 = -1 · 2 · 32 · 5 · 37	Discriminant
Eigenvalues	2+ 3+ 5+  1 -1  2 -7 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,2,-2]	[a1,a2,a3,a4,a6]
Generators	[1:1:1]	Generators of the group modulo torsion
j	357911/3330	j-invariant
L	1.6319281097343	L(r)(E,1)/r!
Ω	2.2084766971799	Real period
R	0.36946917117534	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	8880u1 35520bj1 3330u1 5550bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110a1

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	-1	2	-7	-2	0	9	7	+	-11	-11	8	-11	-10	-1	-8	0	4	12	-6	6	-19

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Quadratic twists for elliptic curve 1110a1

-4	8	-3	5	-7	37
8880u1	35520bj1	3330u1	5550bj1	54390x1	41070w1

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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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