Cremona's table of elliptic curves

4326 = 2 · 3 · 7 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 103-	Signs for the Atkin-Lehner involutions
Class	4326n	Isogeny class
Conductor	4326	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	37428552 = 23 · 32 · 72 · 1032	Discriminant
Eigenvalues	2- 3- -2 7- -2  0 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-399,-3087]	[a1,a2,a3,a4,a6]
Generators	[-12:9:1]	Generators of the group modulo torsion
j	7026036894577/37428552	j-invariant
L	5.6998757542357	L(r)(E,1)/r!
Ω	1.0685379342464	Real period
R	0.88904592146523	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	34608j2 12978n2 108150c2 30282w2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326n2

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

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Quadratic twists for elliptic curve 4326n2

-4	-3	5	-7
34608j2	12978n2	108150c2	30282w2

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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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