Cremona's table of elliptic curves

9280 = 2⁶ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5- 29-	Signs for the Atkin-Lehner involutions
Class	9280k	Isogeny class
Conductor	9280	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	4305920 = 210 · 5 · 292	Discriminant
Eigenvalues	2+ -2 5-  4  0 -6  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-45,-77]	[a1,a2,a3,a4,a6]
Generators	[-2:3:1]	Generators of the group modulo torsion
j	10061824/4205	j-invariant
L	3.5266136071686	L(r)(E,1)/r!
Ω	1.9094711638653	Real period
R	1.8469059255285	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	9280u1 1160d1 83520bc1 46400s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9280k1

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	-6	0	0	-8	-	8	0	6	2	-2	6	-12	6	-16	0	4	-8	-8	-10	8

---

Quadratic twists for elliptic curve 9280k1

-4	8	-3	5
9280u1	1160d1	83520bc1	46400s1

---

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