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	19680t	Isogeny class
Conductor	19680	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	325527667200 = 29 · 32 · 52 · 414	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2960,-54600]	[a1,a2,a3,a4,a6]
Generators	[-35:70:1] [125:1230:1]	Generators of the group modulo torsion
j	5603709294728/635796225	j-invariant
L	6.5507465076163	L(r)(E,1)/r!
Ω	0.65201799734092	Real period
R	2.511719973349	Regulator
r	2	Rank of the group of rational points
S	0.99999999999994	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19680bd3 39360cp3 59040e3 98400w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19680t2

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 19680t2

-4	8	-3	5
19680bd3	39360cp3	59040e3	98400w3

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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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