Cremona's table of elliptic curves

235 = 5 · 47

Field	Data	Notes
Atkin-Lehner	5+ 47-	Signs for the Atkin-Lehner involutions
Class	235c	Isogeny class
Conductor	235	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	18	Modular degree for the optimal curve
Δ	-5875 = -1 · 53 · 47	Discriminant
Eigenvalues	2  2 5+ -2  0  3  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,4,1]	[a1,a2,a3,a4,a6]
j	5451776/5875	j-invariant
L	2.8253354850414	L(r)(E,1)/r!
Ω	2.8253354850414	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	3760g1 15040t1 2115i1 1175c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 235c1

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
2	2	+	-2	0	3	0	-4	1	8	6	-6	-2	9	-	8	3	-1	-8	3	5	-13	-14	-1	12

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Quadratic twists for elliptic curve 235c1

-4	8	-3	5	-7	-11	13	17	-19	-23	-47
3760g1	15040t1	2115i1	1175c1	11515k1	28435d1	39715k1	67915r1	84835b1	124315f1	11045e1

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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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