Cremona's table of elliptic curves

8240 = 2⁴ · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 5+ 103-	Signs for the Atkin-Lehner involutions
Class	8240j	Isogeny class
Conductor	8240	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-135004160 = -1 · 218 · 5 · 103	Discriminant
Eigenvalues	2- -1 5+ -4  2 -6 -6  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-136,-784]	[a1,a2,a3,a4,a6]
Generators	[20:64:1]	Generators of the group modulo torsion
j	-68417929/32960	j-invariant
L	2.363782054285	L(r)(E,1)/r!
Ω	0.68287631472897	Real period
R	0.86537708341193	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	1030a1 32960y1 74160bz1 41200bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8240j1

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
-	-1	+	-4	2	-6	-6	5	4	5	2	10	-1	1	3	5	11	-3	-1	10	-1	-15	-10	-10	6

---

Quadratic twists for elliptic curve 8240j1

-4	8	-3	5
1030a1	32960y1	74160bz1	41200bb1

---

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