Cremona's table of elliptic curves

9176 = 2³ · 31 · 37

Field	Data	Notes
Atkin-Lehner	2+ 31- 37+	Signs for the Atkin-Lehner involutions
Class	9176a	Isogeny class
Conductor	9176	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	4320	Modular degree for the optimal curve
Δ	-282180352 = -1 · 28 · 313 · 37	Discriminant
Eigenvalues	2+  2  4  1  4  3  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,124,-652]	[a1,a2,a3,a4,a6]
j	817036976/1102267	j-invariant
L	5.5463857368187	L(r)(E,1)/r!
Ω	0.92439762280312	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18352a1 73408r1 82584j1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 9176a1

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	4	1	4	3	2	-8	3	-1	-	+	-5	-1	3	0	12	-11	15	7	4	0	6	15	-8

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Quadratic twists for elliptic curve 9176a1

-4	8	-3
18352a1	73408r1	82584j1

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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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