Cremona's table of elliptic curves

3108 = 2² · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 37-	Signs for the Atkin-Lehner involutions
Class	3108j	Isogeny class
Conductor	3108	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-40029647616 = -1 · 28 · 32 · 73 · 373	Discriminant
Eigenvalues	2- 3- -3 7-  3 -1 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,643,-7089]	[a1,a2,a3,a4,a6]
Generators	[82:777:1]	Generators of the group modulo torsion
j	114667692032/156365811	j-invariant
L	3.5235023130717	L(r)(E,1)/r!
Ω	0.6112957101232	Real period
R	0.32022166238421	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12432be2 49728p2 9324i2 77700b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3108j2

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
-	-	-3	-	3	-1	-6	-4	6	0	-7	-	6	-10	0	3	-3	-10	-7	3	-4	2	-12	-3	5

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Quadratic twists for elliptic curve 3108j2

-4	8	-3	5	-7	37
12432be2	49728p2	9324i2	77700b2	21756i2	114996r2

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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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