Cremona's table of elliptic curves

434 = 2 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 7+ 31+	Signs for the Atkin-Lehner involutions
Class	434a	Isogeny class
Conductor	434	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	376712 = 23 · 72 · 312	Discriminant
Eigenvalues	2+  0  0 7+ -2 -2  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-47,133]	[a1,a2,a3,a4,a6]
Generators	[-3:17:1]	Generators of the group modulo torsion
j	11619959625/376712	j-invariant
L	1.3951818151634	L(r)(E,1)/r!
Ω	2.9955292798112	Real period
R	0.46575469135501	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	3472f2 13888a2 3906n2 10850x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 434a2

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
+	0	0	+	-2	-2	2	-6	0	8	+	-8	-10	-6	-4	4	6	6	-4	-8	14	-16	8	-6	14

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Quadratic twists for elliptic curve 434a2

-4	8	-3	5	-7	-11	13	17	-31
3472f2	13888a2	3906n2	10850x2	3038d2	52514y2	73346r2	125426g2	13454a2

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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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