Cremona's table of elliptic curves

235 = 5 · 47

Field	Data	Notes
Atkin-Lehner	5+ 47-	Signs for the Atkin-Lehner involutions
Class	235b	Isogeny class
Conductor	235	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	108	Modular degree for the optimal curve
Δ	91796875 = 59 · 47	Discriminant
Eigenvalues	-1 -1 5+  1  3  3  6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3551,-82926]	[a1,a2,a3,a4,a6]
j	4952031207028849/91796875	j-invariant
L	0.61846016597604	L(r)(E,1)/r!
Ω	0.61846016597604	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	3760d1 15040p1 2115g1 1175a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 235b1

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	+	1	3	3	6	-1	4	2	-3	0	4	0	-	8	-6	5	4	0	-13	-10	7	14	12

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Quadratic twists for elliptic curve 235b1

-4	8	-3	5	-7	-11	13	17	-19	-23	-47
3760d1	15040p1	2115g1	1175a1	11515j1	28435c1	39715h1	67915p1	84835a1	124315d1	11045c1

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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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