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	8	Product of Tamagawa factors cp
Δ	341474658539489280 = 211 · 312 · 5 · 137	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-509760,-137066580]	[a1,a2,a3,a4,a6]
Generators	[1121262:-79969967:216]	Generators of the group modulo torsion
j	1481943889298/34543665	j-invariant
L	4.3709201507878	L(r)(E,1)/r!
Ω	0.17892647575061	Real period
R	12.214291184274	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	40560z3 60840g3 101400bb3 1560a3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280s3

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 20280s3

-4	-3	5	13
40560z3	60840g3	101400bb3	1560a3

---

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