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	5400609094045440 = 28 · 39 · 5 · 118	Discriminant
Eigenvalues	2- 3- 5-  4 11-  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-780087,265169806]	[a1,a2,a3,a4,a6]
Generators	[-825:18634:1]	Generators of the group modulo torsion
j	158792223184/16335	j-invariant
L	6.6894952846956	L(r)(E,1)/r!
Ω	0.41137235989394	Real period
R	2.7102352746063	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	87120gl2 7260p2 108900cu2 1980f2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 21780bd2

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

---

Quadratic twists for elliptic curve 21780bd2

-4	-3	5	-11
87120gl2	7260p2	108900cu2	1980f2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations