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	9240n	Isogeny class
Conductor	9240	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	21504	Modular degree for the optimal curve
Δ	-2864466990000 = -1 · 24 · 312 · 54 · 72 · 11	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11+ -6  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5895,190350]	[a1,a2,a3,a4,a6]
Generators	[-15:525:1]	Generators of the group modulo torsion
j	-1416213817563136/179029186875	j-invariant
L	5.3378995176485	L(r)(E,1)/r!
Ω	0.78040025347989	Real period
R	0.56999591917163	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	18480q1 73920i1 27720bh1 46200ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240n1

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	2	8	0	-6	0	-10	-2	-4	8	-10	-4	-10	-4	0	14	-12	0	-14	18

---

Quadratic twists for elliptic curve 9240n1

-4	8	-3	5	-7	-11
18480q1	73920i1	27720bh1	46200ca1	64680d1	101640cw1

---

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