Cremona's table of elliptic curves

21780 = 2² · 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	21780bd	Isogeny class
Conductor	21780	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	2.1963977151644E+20	Discriminant
Eigenvalues	2- 3- 5-  4 11-  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1694847,-461332586]	[a1,a2,a3,a4,a6]
Generators	[15010:435519:8]	Generators of the group modulo torsion
j	1628514404944/664335375	j-invariant
L	6.6894952846956	L(r)(E,1)/r!
Ω	0.13712411996465	Real period
R	8.1307058238188	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	87120gl4 7260p4 108900cu4 1980f4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 21780bd4

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

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Quadratic twists for elliptic curve 21780bd4

-4	-3	5	-11
87120gl4	7260p4	108900cu4	1980f4

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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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