Cremona's table of elliptic curves

4235 = 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	4235a	Isogeny class
Conductor	4235	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2400	Modular degree for the optimal curve
Δ	-9986659375 = -1 · 55 · 74 · 113	Discriminant
Eigenvalues	1 -2 5+ 7+ 11+  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,536,537]	[a1,a2,a3,a4,a6]
Generators	[195:2646:1]	Generators of the group modulo torsion
j	12829337821/7503125	j-invariant
L	2.6411081992153	L(r)(E,1)/r!
Ω	0.78035652934509	Real period
R	3.3844891404085	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	67760bk1 38115u1 21175n1 29645m1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4235a1

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	2	-4	6	4	4	-6	0	-4	6	-6	-8	0	2	0	10	8	-12	-10	-6

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Quadratic twists for elliptic curve 4235a1

-4	-3	5	-7	-11
67760bk1	38115u1	21175n1	29645m1	4235c1

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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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