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	7176m	Isogeny class
Conductor	7176	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	3759545207808 = 210 · 35 · 134 · 232	Discriminant
Eigenvalues	2- 3-  0  2  0 13+  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3888,-3888]	[a1,a2,a3,a4,a6]
Generators	[-24:276:1]	Generators of the group modulo torsion
j	6349130018500/3671430867	j-invariant
L	5.2546634104082	L(r)(E,1)/r!
Ω	0.66169868899818	Real period
R	0.79411724668275	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	14352b2 57408s2 21528c2 93288l2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 7176m2

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	0	+	4	-6	+	-6	-8	-2	-10	6	-8	0	-4	14	-10	-16	-6	10	0	-4	-2

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Quadratic twists for elliptic curve 7176m2

-4	8	-3	13
14352b2	57408s2	21528c2	93288l2

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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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