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	4235g	Isogeny class
Conductor	4235	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-4539049305175 = -1 · 52 · 7 · 1110	Discriminant
Eigenvalues	1  0 5- 7- 11-  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4439,-152080]	[a1,a2,a3,a4,a6]
j	-5461074081/2562175	j-invariant
L	2.2880505177404	L(r)(E,1)/r!
Ω	0.28600631471755	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	67760by1 38115t1 21175i1 29645d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4235g1

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

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Quadratic twists for elliptic curve 4235g1

-4	-3	5	-7	-11
67760by1	38115t1	21175i1	29645d1	385a1

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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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