Cremona's table of elliptic curves

2380 = 2² · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 17+	Signs for the Atkin-Lehner involutions
Class	2380a	Isogeny class
Conductor	2380	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	504	Modular degree for the optimal curve
Δ	-3808000 = -1 · 28 · 53 · 7 · 17	Discriminant
Eigenvalues	2- -2 5- 7-  6  5 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,35,63]	[a1,a2,a3,a4,a6]
j	17997824/14875	j-invariant
L	1.6063323497774	L(r)(E,1)/r!
Ω	1.6063323497774	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	9520k1 38080h1 21420s1 11900b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2380a1

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	5	+	2	3	-6	-7	5	-3	-4	-3	6	6	-1	2	12	-4	-4	9	-6	8

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Quadratic twists for elliptic curve 2380a1

-4	8	-3	5	-7	17
9520k1	38080h1	21420s1	11900b1	16660e1	40460d1

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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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