Cremona's table of elliptic curves

372 = 2² · 3 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 31-	Signs for the Atkin-Lehner involutions
Class	372a	Isogeny class
Conductor	372	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-4464 = -1 · 24 · 32 · 31	Discriminant
Eigenvalues	2- 3+ -1 -1  0 -6 -8  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6,9]	[a1,a2,a3,a4,a6]
Generators	[0:3:1]	Generators of the group modulo torsion
j	-1755904/279	j-invariant
L	1.4965237117017	L(r)(E,1)/r!
Ω	4.2046190817772	Real period
R	0.059320621860357	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	1488m1 5952q1 1116c1 9300l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 372a1

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
-	+	-1	-1	0	-6	-8	7	-6	-8	-	8	9	0	-8	4	3	0	12	-5	-4	14	2	-6	-7

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Quadratic twists for elliptic curve 372a1

-4	8	-3	5	-7	-11	13	17	-31
1488m1	5952q1	1116c1	9300l1	18228k1	45012c1	62868a1	107508h1	11532e1

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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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