Cremona's table of elliptic curves

19080 = 2³ · 3² · 5 · 53

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 53-	Signs for the Atkin-Lehner involutions
Class	19080o	Isogeny class
Conductor	19080	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	13252978135296000 = 211 · 38 · 53 · 534	Discriminant
Eigenvalues	2- 3- 5- -4 -4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-440427,112365254]	[a1,a2,a3,a4,a6]
Generators	[-242:14310:1]	Generators of the group modulo torsion
j	6328314248306258/8876791125	j-invariant
L	4.4795001110673	L(r)(E,1)/r!
Ω	0.39751243129323	Real period
R	0.93906918761721	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	38160o4 6360a3 95400g4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 19080o3

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

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Quadratic twists for elliptic curve 19080o3

-4	-3	5
38160o4	6360a3	95400g4

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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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