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	1380c	Isogeny class
Conductor	1380	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-21461760 = -1 · 28 · 36 · 5 · 23	Discriminant
Eigenvalues	2- 3- 5+ -1  0 -4 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,59,-121]	[a1,a2,a3,a4,a6]
Generators	[2:3:1]	Generators of the group modulo torsion
j	87228416/83835	j-invariant
L	2.9151091609513	L(r)(E,1)/r!
Ω	1.173830248291	Real period
R	1.2417081452772	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	5520o1 22080o1 4140h1 6900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1380c1

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
-	-	+	-1	0	-4	-3	-4	+	-3	-7	11	-9	-4	6	9	3	-10	-13	9	-16	8	-15	0	2

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Quadratic twists for elliptic curve 1380c1

-4	8	-3	5	-7	-23
5520o1	22080o1	4140h1	6900c1	67620n1	31740i1

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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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