Cremona's table of elliptic curves

19680 = 2⁵ · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41-	Signs for the Atkin-Lehner involutions
Class	19680ba	Isogeny class
Conductor	19680	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8714304000 = 29 · 34 · 53 · 412	Discriminant
Eigenvalues	2- 3- 5+ -2  2  6  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1456,-21400]	[a1,a2,a3,a4,a6]
j	667169403272/17020125	j-invariant
L	3.0961365585936	L(r)(E,1)/r!
Ω	0.7740341396484	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19680o2 39360cd2 59040v2 98400e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19680ba2

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

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Quadratic twists for elliptic curve 19680ba2

-4	8	-3	5
19680o2	39360cd2	59040v2	98400e2

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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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