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	4326j	Isogeny class
Conductor	4326	Conductor
∏ cp	100	Product of Tamagawa factors cp
deg	297600	Modular degree for the optimal curve
Δ	5.0065377446147E+20	Discriminant
Eigenvalues	2- 3+ -2 7-  6 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5704769,-5135212609]	[a1,a2,a3,a4,a6]
j	20532314472722162933444497/500653774461465805824	j-invariant
L	2.4458255106126	L(r)(E,1)/r!
Ω	0.097833020424504	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	34608u1 12978p1 108150be1 30282bl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326j1

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

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Quadratic twists for elliptic curve 4326j1

-4	-3	5	-7
34608u1	12978p1	108150be1	30282bl1

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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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