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	2	Product of Tamagawa factors cp
Δ	14600400 = 24 · 3 · 52 · 233	Discriminant
Eigenvalues	2- 3- 5- -4  0  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12165,-520512]	[a1,a2,a3,a4,a6]
j	12444451776495616/912525	j-invariant
L	2.0456487604425	L(r)(E,1)/r!
Ω	0.45458861343167	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5520v3 22080f3 4140e3 6900e3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1380d3

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 1380d3

-4	8	-3	5	-7	-23
5520v3	22080f3	4140e3	6900e3	67620b3	31740h3

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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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