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	3108h	Isogeny class
Conductor	3108	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	51518208 = 28 · 3 · 72 · 372	Discriminant
Eigenvalues	2- 3-  4 7-  4 -6  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-796,-8908]	[a1,a2,a3,a4,a6]
j	218156637904/201243	j-invariant
L	3.5950908830544	L(r)(E,1)/r!
Ω	0.8987727207636	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	12432bb2 49728bg2 9324f2 77700e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3108h2

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

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Quadratic twists for elliptic curve 3108h2

-4	8	-3	5	-7	37
12432bb2	49728bg2	9324f2	77700e2	21756f2	114996v2

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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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