Cremona's table of elliptic curves

7320 = 2³ · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 61-	Signs for the Atkin-Lehner involutions
Class	7320p	Isogeny class
Conductor	7320	Conductor
∏ cp	336	Product of Tamagawa factors cp
Δ	-721120375856044800 = -1 · 28 · 37 · 52 · 616	Discriminant
Eigenvalues	2- 3- 5-  0  2 -6  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,215940,13395600]	[a1,a2,a3,a4,a6]
Generators	[0:3660:1]	Generators of the group modulo torsion
j	4349917564951268144/2816876468187675	j-invariant
L	5.2039870433487	L(r)(E,1)/r!
Ω	0.17819430352139	Real period
R	0.34766670697246	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	14640d2 58560a2 21960d2 36600a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7320p2

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

---

Quadratic twists for elliptic curve 7320p2

-4	8	-3	5
14640d2	58560a2	21960d2	36600a2

---

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