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	7176g	Isogeny class
Conductor	7176	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	126756864 = 211 · 32 · 13 · 232	Discriminant
Eigenvalues	2+ 3- -2  2  0 13- -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4984,-137104]	[a1,a2,a3,a4,a6]
j	6686748602354/61893	j-invariant
L	2.2727832368953	L(r)(E,1)/r!
Ω	0.56819580922384	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14352e2 57408o2 21528l2 93288bn2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 7176g2

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
+	-	-2	2	0	-	-6	8	-	-6	-4	2	2	6	12	-4	4	12	4	16	14	0	0	-16	-12

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Quadratic twists for elliptic curve 7176g2

-4	8	-3	13
14352e2	57408o2	21528l2	93288bn2

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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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