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	4235f	Isogeny class
Conductor	4235	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	46585 = 5 · 7 · 113	Discriminant
Eigenvalues	-1  0 5- 7- 11+  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-12,14]	[a1,a2,a3,a4,a6]
Generators	[4:2:1]	Generators of the group modulo torsion
j	132651/35	j-invariant
L	2.4855601158704	L(r)(E,1)/r!
Ω	3.3516341975497	Real period
R	1.4831929556558	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	67760bv1 38115q1 21175a1 29645b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4235f1

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	-	-	+	4	0	-4	-6	0	6	2	2	-12	8	-14	6	-14	-10	12	-4	-4	4	-6	14

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Quadratic twists for elliptic curve 4235f1

-4	-3	5	-7	-11
67760bv1	38115q1	21175a1	29645b1	4235d1

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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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