Cremona's table of elliptic curves

1380 = 2² · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 23+	Signs for the Atkin-Lehner involutions
Class	1380d	Isogeny class
Conductor	1380	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	-12340512000 = -1 · 28 · 36 · 53 · 232	Discriminant
Eigenvalues	2- 3- 5- -4  0  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,460,-3612]	[a1,a2,a3,a4,a6]
j	41957807024/48205125	j-invariant
L	2.0456487604425	L(r)(E,1)/r!
Ω	0.6818829201475	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	5520v2 22080f2 4140e2 6900e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1380d2

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
-	-	-	-4	0	2	6	2	+	6	-4	8	6	8	12	-6	-6	-10	8	-6	2	-10	-12	6	8

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Quadratic twists for elliptic curve 1380d2

-4	8	-3	5	-7	-23
5520v2	22080f2	4140e2	6900e2	67620b2	31740h2

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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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