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	3108i	Isogeny class
Conductor	3108	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	1788417792 = 28 · 36 · 7 · 372	Discriminant
Eigenvalues	2- 3-  0 7-  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-27228,1720260]	[a1,a2,a3,a4,a6]
Generators	[216:2442:1]	Generators of the group modulo torsion
j	8720611169506000/6986007	j-invariant
L	4.0122196524777	L(r)(E,1)/r!
Ω	1.2389270892354	Real period
R	3.2384630922501	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	12432bd2 49728m2 9324g2 77700a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3108i2

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

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Quadratic twists for elliptic curve 3108i2

-4	8	-3	5	-7	37
12432bd2	49728m2	9324g2	77700a2	21756g2	114996j2

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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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