Cremona's table of elliptic curves

185 = 5 · 37

Field	Data	Notes
Atkin-Lehner	5+ 37+	Signs for the Atkin-Lehner involutions
Class	185c	Isogeny class
Conductor	185	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	6	Modular degree for the optimal curve
Δ	185 = 5 · 37	Discriminant
Eigenvalues	1 -2 5+ -2  0 -2  2  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4,-3]	[a1,a2,a3,a4,a6]
Generators	[3:2:1]	Generators of the group modulo torsion
j	4826809/185	j-invariant
L	1.2447948638518	L(r)(E,1)/r!
Ω	3.4935106383312	Real period
R	1.4252652906721	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2960g1 11840s1 1665f1 925c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 185c1

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	-2	+	-2	0	-2	2	2	-8	2	-6	+	10	-4	-10	-6	-6	2	-14	0	2	-6	18	2	-10

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Quadratic twists for elliptic curve 185c1

-4	8	-3	5	-7	-11	13	17	-19	-23	37
2960g1	11840s1	1665f1	925c1	9065d1	22385c1	31265e1	53465f1	66785d1	97865c1	6845c1

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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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