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	19680w	Isogeny class
Conductor	19680	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-1742860800 = -1 · 29 · 34 · 52 · 412	Discriminant
Eigenvalues	2- 3- 5+ -2  0  4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,144,1944]	[a1,a2,a3,a4,a6]
Generators	[-6:30:1]	Generators of the group modulo torsion
j	640503928/3404025	j-invariant
L	5.4539427103555	L(r)(E,1)/r!
Ω	1.0744691562803	Real period
R	0.63449270256818	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	19680a2 39360l2 59040ba2 98400a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19680w2

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

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Quadratic twists for elliptic curve 19680w2

-4	8	-3	5
19680a2	39360l2	59040ba2	98400a2

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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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