Cremona's table of elliptic curves

47432 = 2³ · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2- 7- 11+	Signs for the Atkin-Lehner involutions
Class	47432q	Isogeny class
Conductor	47432	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	133568512 = 211 · 72 · 113	Discriminant
Eigenvalues	2- -1  0 7- 11+ -3  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-128,-20]	[a1,a2,a3,a4,a6]
Generators	[-7:22:1]	Generators of the group modulo torsion
j	1750	j-invariant
L	4.4408082298865	L(r)(E,1)/r!
Ω	1.5362925274023	Real period
R	1.4453003417862	Regulator
r	1	Rank of the group of rational points
S	1.0000000000023	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94864g1 47432n1 47432c1	Quadratic twists by: -4 -7 -11

Hecke Eigenvalues for elliptic curve 47432q1

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	0	-	+	-3	2	8	4	-3	2	-6	0	-8	12	-10	-9	-7	-9	14	14	9	2	-6	-7

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Quadratic twists for elliptic curve 47432q1

-4	-7	-11
94864g1	47432n1	47432c1

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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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