Cremona's table of elliptic curves

20280 = 2³ · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	20280s	Isogeny class
Conductor	20280	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	64512	Modular degree for the optimal curve
Δ	-271073593440000 = -1 · 28 · 33 · 54 · 137	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,14140,452100]	[a1,a2,a3,a4,a6]
Generators	[60:1230:1]	Generators of the group modulo torsion
j	253012016/219375	j-invariant
L	4.3709201507878	L(r)(E,1)/r!
Ω	0.35785295150123	Real period
R	3.0535727960684	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	40560z1 60840g1 101400bb1 1560a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280s1

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	+	-2	4	4	-6	4	-6	2	12	-8	14	-12	-2	0	-8	2	8	-12	-6	10

---

Quadratic twists for elliptic curve 20280s1

-4	-3	5	13
40560z1	60840g1	101400bb1	1560a1

---

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