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	3108b	Isogeny class
Conductor	3108	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	22079232 = 28 · 32 · 7 · 372	Discriminant
Eigenvalues	2- 3+  0 7+  0  4 -8  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-348,-2376]	[a1,a2,a3,a4,a6]
Generators	[-10:2:1]	Generators of the group modulo torsion
j	18258658000/86247	j-invariant
L	2.8712295450023	L(r)(E,1)/r!
Ω	1.1054121964753	Real period
R	0.86580962111014	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12432bw2 49728bh2 9324c2 77700v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3108b2

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

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Quadratic twists for elliptic curve 3108b2

-4	8	-3	5	-7	37
12432bw2	49728bh2	9324c2	77700v2	21756o2	114996a2

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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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