Cremona's table of elliptic curves

7280 = 2⁴ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	7280g	Isogeny class
Conductor	7280	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	25600	Modular degree for the optimal curve
Δ	59953930400000 = 28 · 55 · 78 · 13	Discriminant
Eigenvalues	2+  2 5- 7+  2 13- -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10340,161600]	[a1,a2,a3,a4,a6]
Generators	[-20:600:1]	Generators of the group modulo torsion
j	477625344356176/234195040625	j-invariant
L	5.9273270989847	L(r)(E,1)/r!
Ω	0.55445575192758	Real period
R	2.1380703792424	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	3640j1 29120bl1 65520q1 36400k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280g1

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	-	-6	-6	-6	-6	10	-6	10	-2	0	-10	14	2	-16	-6	-2	-4	-4	2	-14

---

Quadratic twists for elliptic curve 7280g1

-4	8	-3	5	-7	13
3640j1	29120bl1	65520q1	36400k1	50960b1	94640m1

---

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