Cremona's table of elliptic curves

7260 = 2² · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	7260d	Isogeny class
Conductor	7260	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	110880	Modular degree for the optimal curve
Δ	-1607691607500000000 = -1 · 28 · 3 · 510 · 118	Discriminant
Eigenvalues	2- 3+ 5+ -3 11-  2 -2 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-525301,-158557199]	[a1,a2,a3,a4,a6]
Generators	[82677:4431250:27]	Generators of the group modulo torsion
j	-292124360704/29296875	j-invariant
L	2.859850327968	L(r)(E,1)/r!
Ω	0.08816694605117	Real period
R	5.4061271562176	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29040da1 116160er1 21780bb1 36300br1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7260d1

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
-	+	+	-3	-	2	-2	-1	-2	8	5	-11	-6	8	8	2	4	3	-9	-6	11	9	-8	6	7

---

Quadratic twists for elliptic curve 7260d1

-4	8	-3	5	-11
29040da1	116160er1	21780bb1	36300br1	7260c1

---

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