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	3108g	Isogeny class
Conductor	3108	Conductor
∏ cp	28	Product of Tamagawa factors cp
Δ	1.3191739573796E+23	Discriminant
Eigenvalues	2- 3-  0 7-  4  2  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-23686188,40776240276]	[a1,a2,a3,a4,a6]
j	5740758548094154088194000/515302327101413952387	j-invariant
L	2.8363341210238	L(r)(E,1)/r!
Ω	0.10129764717942	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12432v2 49728u2 9324e2 77700d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3108g2

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	-	4	2	0	6	4	-4	-2	+	2	6	-8	-6	0	-10	8	16	10	-14	-12	12	10

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Quadratic twists for elliptic curve 3108g2

-4	8	-3	5	-7	37
12432v2	49728u2	9324e2	77700d2	21756b2	114996k2

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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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