Cremona's table of elliptic curves

19600 = 2⁴ · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	19600db	Isogeny class
Conductor	19600	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4014080000000000000 = -1 · 226 · 513 · 72	Discriminant
Eigenvalues	2- -3 5+ 7-  2  0 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,367325,-44150750]	[a1,a2,a3,a4,a6]
Generators	[1815:81250:1]	Generators of the group modulo torsion
j	1747829720511/1280000000	j-invariant
L	2.8323493810185	L(r)(E,1)/r!
Ω	0.13876839804966	Real period
R	2.5513278066424	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2450j2 78400iy2 3920bj2 19600by2	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 19600db2

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
-	-3	+	-	2	0	-4	-6	3	9	-4	4	7	-5	-8	2	10	-1	-9	-2	-4	-10	7	-1	14

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Quadratic twists for elliptic curve 19600db2

-4	8	5	-7
2450j2	78400iy2	3920bj2	19600by2

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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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