Cremona's table of elliptic curves

9240 = 2³ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	9240h	Isogeny class
Conductor	9240	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	3073593600 = 28 · 34 · 52 · 72 · 112	Discriminant
Eigenvalues	2+ 3+ 5- 7+ 11-  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-540,4212]	[a1,a2,a3,a4,a6]
Generators	[2:56:1]	Generators of the group modulo torsion
j	68150496976/12006225	j-invariant
L	3.963139147989	L(r)(E,1)/r!
Ω	1.3549922831552	Real period
R	1.4624212983562	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	18480bg2 73920cf2 27720bc2 46200cz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240h2

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

---

Quadratic twists for elliptic curve 9240h2

-4	8	-3	5	-7	-11
18480bg2	73920cf2	27720bc2	46200cz2	64680ba2	101640ch2

---

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