Cremona's table of elliptic curves

7176 = 2³ · 3 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13- 23-	Signs for the Atkin-Lehner involutions
Class	7176b	Isogeny class
Conductor	7176	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	1506228048 = 24 · 34 · 133 · 232	Discriminant
Eigenvalues	2+ 3+  0 -2  6 13-  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-663,-6084]	[a1,a2,a3,a4,a6]
Generators	[-13:13:1]	Generators of the group modulo torsion
j	2017433344000/94139253	j-invariant
L	3.5179843124468	L(r)(E,1)/r!
Ω	0.94345268454884	Real period
R	0.6214733694054	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	14352m1 57408bf1 21528k1 93288bb1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 7176b1

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	6	-	2	-6	-	2	-4	-12	-2	0	12	6	4	-10	6	0	-10	0	-6	-12	12

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Quadratic twists for elliptic curve 7176b1

-4	8	-3	13
14352m1	57408bf1	21528k1	93288bb1

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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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