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	4	Product of Tamagawa factors cp
Δ	-34225 = -1 · 52 · 372	Discriminant
Eigenvalues	1 -2 5+ -2  0 -2  2  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,1,-9]	[a1,a2,a3,a4,a6]
Generators	[3:3:1]	Generators of the group modulo torsion
j	357911/34225	j-invariant
L	1.2447948638518	L(r)(E,1)/r!
Ω	1.7467553191656	Real period
R	0.71263264533606	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	2960g2 11840s2 1665f2 925c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 185c2

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 185c2

-4	8	-3	5	-7	-11	13	17	-19	-23	37
2960g2	11840s2	1665f2	925c2	9065d2	22385c2	31265e2	53465f2	66785d2	97865c2	6845c2

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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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