Cremona's table of elliptic curves

21660 = 2² · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	21660bf	Isogeny class
Conductor	21660	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	246240	Modular degree for the optimal curve
Δ	70629883289867520 = 28 · 32 · 5 · 1910	Discriminant
Eigenvalues	2- 3- 5- -2  3  0 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-695045,-222897177]	[a1,a2,a3,a4,a6]
Generators	[-12669:10286:27]	Generators of the group modulo torsion
j	23658496/45	j-invariant
L	6.5854022730411	L(r)(E,1)/r!
Ω	0.16536587565175	Real period
R	6.63720396473	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	86640cr1 64980w1 108300r1 21660m1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660bf1

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	3	0	-4	-	2	1	-7	-4	6	-8	6	-10	15	-11	6	-13	8	13	-4	-3	-2

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Quadratic twists for elliptic curve 21660bf1

-4	-3	5	-19
86640cr1	64980w1	108300r1	21660m1

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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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