Cremona's table of elliptic curves

16380 = 2² · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	16380c	Isogeny class
Conductor	16380	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	-50295576240 = -1 · 24 · 312 · 5 · 7 · 132	Discriminant
Eigenvalues	2- 3- 5+ 7+  4 13+  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-948,15577]	[a1,a2,a3,a4,a6]
Generators	[2:117:1]	Generators of the group modulo torsion
j	-8077950976/4312035	j-invariant
L	4.7182943033477	L(r)(E,1)/r!
Ω	1.0475550271978	Real period
R	0.75068360465494	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	65520db1 5460f1 81900bc1 114660bx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16380c1

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	+	6	0	-4	-6	4	-12	-10	10	8	-12	-14	10	8	0	-2	4	0	10	2

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Quadratic twists for elliptic curve 16380c1

-4	-3	5	-7
65520db1	5460f1	81900bc1	114660bx1

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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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