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	3	Product of Tamagawa factors cp
Δ	-2157003520 = -1 · 28 · 5 · 73 · 173	Discriminant
Eigenvalues	2- -2 5- 7-  6  5 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-365,-3617]	[a1,a2,a3,a4,a6]
j	-21064523776/8425795	j-invariant
L	1.6063323497774	L(r)(E,1)/r!
Ω	0.53544411659246	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	9520k2 38080h2 21420s2 11900b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2380a2

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 2380a2

-4	8	-3	5	-7	17
9520k2	38080h2	21420s2	11900b2	16660e2	40460d2

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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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