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	4235c	Isogeny class
Conductor	4235	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1128314813076171875 = 510 · 72 · 119	Discriminant
Eigenvalues	-1 -2 5+ 7- 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-261181,-5280714]	[a1,a2,a3,a4,a6]
j	835630707059/478515625	j-invariant
L	0.45799677940026	L(r)(E,1)/r!
Ω	0.22899838970013	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	67760y2 38115ba2 21175c2 29645n2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4235c2

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 4235c2

-4	-3	5	-7	-11
67760y2	38115ba2	21175c2	29645n2	4235a2

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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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