Cremona's table of elliptic curves

9940 = 2² · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 71-	Signs for the Atkin-Lehner involutions
Class	9940h	Isogeny class
Conductor	9940	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1091014400 = 28 · 52 · 74 · 71	Discriminant
Eigenvalues	2- -2 5- 7- -4  0 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-460,3300]	[a1,a2,a3,a4,a6]
Generators	[-20:70:1]	Generators of the group modulo torsion
j	42140629456/4261775	j-invariant
L	3.022538719654	L(r)(E,1)/r!
Ω	1.5055518794144	Real period
R	0.3345991992462	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	39760v2 89460e2 49700e2 69580l2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9940h2

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

---

Quadratic twists for elliptic curve 9940h2

-4	-3	5	-7
39760v2	89460e2	49700e2	69580l2

---

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