Cremona's table of elliptic curves

6132 = 2² · 3 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 73+	Signs for the Atkin-Lehner involutions
Class	6132a	Isogeny class
Conductor	6132	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-392448 = -1 · 28 · 3 · 7 · 73	Discriminant
Eigenvalues	2- 3+  0 7+ -2 -1  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-28,-56]	[a1,a2,a3,a4,a6]
j	-9826000/1533	j-invariant
L	1.0258419520991	L(r)(E,1)/r!
Ω	1.0258419520991	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24528r1 98112p1 18396e1 42924g1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6132a1

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	+	-2	-1	0	1	-1	-3	-2	-3	7	11	0	1	-9	-4	-2	15	+	-4	-7	1	14

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Quadratic twists for elliptic curve 6132a1

-4	8	-3	-7
24528r1	98112p1	18396e1	42924g1

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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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