Cremona's table of elliptic curves

12432 = 2⁴ · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 37-	Signs for the Atkin-Lehner involutions
Class	12432bq	Isogeny class
Conductor	12432	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	261072 = 24 · 32 · 72 · 37	Discriminant
Eigenvalues	2- 3-  0 7+  4  4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-113,426]	[a1,a2,a3,a4,a6]
j	10061824000/16317	j-invariant
L	3.1047755442949	L(r)(E,1)/r!
Ω	3.1047755442949	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3108c1 49728cr1 37296bx1 87024cm1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 12432bq1

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

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Quadratic twists for elliptic curve 12432bq1

-4	8	-3	-7
3108c1	49728cr1	37296bx1	87024cm1

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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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