Cremona's table of elliptic curves

19404 = 2² · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	19404z	Isogeny class
Conductor	19404	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	645576001475328 = 28 · 311 · 76 · 112	Discriminant
Eigenvalues	2- 3-  2 7- 11- -6 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-569919,165598342]	[a1,a2,a3,a4,a6]
Generators	[431:162:1]	Generators of the group modulo torsion
j	932410994128/29403	j-invariant
L	5.7186692250962	L(r)(E,1)/r!
Ω	0.47765461616085	Real period
R	0.9976994938065	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	77616fi2 6468m2 396a2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 19404z2

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
-	-	2	-	-	-6	-4	2	8	0	0	-6	0	10	0	-14	-12	14	4	0	-6	2	16	-14	2

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Quadratic twists for elliptic curve 19404z2

-4	-3	-7
77616fi2	6468m2	396a2

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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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