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	9240d	Isogeny class
Conductor	9240	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	9445201920 = 211 · 32 · 5 · 7 · 114	Discriminant
Eigenvalues	2+ 3+ 5- 7+ 11+  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-13480,-597908]	[a1,a2,a3,a4,a6]
j	132280446972242/4611915	j-invariant
L	1.7722920799136	L(r)(E,1)/r!
Ω	0.44307301997839	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480bh4 73920ch4 27720bd4 46200cv4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240d3

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

---

Quadratic twists for elliptic curve 9240d3

-4	8	-3	5	-7	-11
18480bh4	73920ch4	27720bd4	46200cv4	64680q4	101640cc4

---

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