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	7176f	Isogeny class
Conductor	7176	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1853819136 = 28 · 34 · 132 · 232	Discriminant
Eigenvalues	2+ 3-  2  0 -4 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-332,960]	[a1,a2,a3,a4,a6]
Generators	[28:120:1]	Generators of the group modulo torsion
j	15856431568/7241481	j-invariant
L	5.3522173350758	L(r)(E,1)/r!
Ω	1.3293062886921	Real period
R	2.013161820043	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14352j2 57408i2 21528q2 93288bj2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 7176f2

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	0	-4	-	-6	-4	+	-2	4	2	2	4	12	6	0	-10	-12	4	-14	0	-12	-18	-18

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Quadratic twists for elliptic curve 7176f2

-4	8	-3	13
14352j2	57408i2	21528q2	93288bj2

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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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