Cremona's table of elliptic curves

9380 = 2² · 5 · 7 · 67

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 67-	Signs for the Atkin-Lehner involutions
Class	9380a	Isogeny class
Conductor	9380	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8064	Modular degree for the optimal curve
Δ	-1261197280000 = -1 · 28 · 54 · 76 · 67	Discriminant
Eigenvalues	2-  0 5+ 7+  0  0 -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,352,53972]	[a1,a2,a3,a4,a6]
Generators	[37:343:1]	Generators of the group modulo torsion
j	18841337856/4926551875	j-invariant
L	3.6817147602755	L(r)(E,1)/r!
Ω	0.66688830504808	Real period
R	1.3801841824209	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	37520f1 84420u1 46900e1 65660f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9380a1

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	+	+	0	0	-3	7	-1	3	2	7	-8	-4	-1	10	-3	-4	-	0	-5	-14	12	9	12

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Quadratic twists for elliptic curve 9380a1

-4	-3	5	-7
37520f1	84420u1	46900e1	65660f1

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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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