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	9380b	Isogeny class
Conductor	9380	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	-21011200 = -1 · 28 · 52 · 72 · 67	Discriminant
Eigenvalues	2- -2 5- 7+ -6 -4 -5  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-365,2575]	[a1,a2,a3,a4,a6]
Generators	[-15:70:1] [5:30:1]	Generators of the group modulo torsion
j	-21064523776/82075	j-invariant
L	4.4370087207757	L(r)(E,1)/r!
Ω	2.1647459015254	Real period
R	0.17080560192806	Regulator
r	2	Rank of the group of rational points
S	0.99999999999987	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	37520l1 84420j1 46900g1 65660c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9380b1

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	-	+	-6	-4	-5	3	-3	-5	-8	-3	-2	-4	-11	8	-7	-14	-	-16	13	2	-12	9	-10

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Quadratic twists for elliptic curve 9380b1

-4	-3	5	-7
37520l1	84420j1	46900g1	65660c1

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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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