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	19680bd	Isogeny class
Conductor	19680	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-590400000000 = -1 · 212 · 32 · 58 · 41	Discriminant
Eigenvalues	2- 3- 5-  0  4 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1135,-33537]	[a1,a2,a3,a4,a6]
Generators	[31:180:1]	Generators of the group modulo torsion
j	39442883264/144140625	j-invariant
L	6.6975773865311	L(r)(E,1)/r!
Ω	0.46659945829576	Real period
R	0.89712617367177	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	19680t4 39360bs1 59040f2 98400d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19680bd4

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

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Quadratic twists for elliptic curve 19680bd4

-4	8	-3	5
19680t4	39360bs1	59040f2	98400d2

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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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