Cremona's table of elliptic curves

6720 = 2⁶ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+	Signs for the Atkin-Lehner involutions
Class	6720ba	Isogeny class
Conductor	6720	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	185177664000000 = 212 · 310 · 56 · 72	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-81065,8832663]	[a1,a2,a3,a4,a6]
Generators	[346:-4725:1]	Generators of the group modulo torsion
j	14383655824793536/45209390625	j-invariant
L	4.9572079699012	L(r)(E,1)/r!
Ω	0.57055757374768	Real period
R	0.28961190468124	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	6720m2 3360b1 20160bc2 33600bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720ba2

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

---

Quadratic twists for elliptic curve 6720ba2

-4	8	-3	5	-7
6720m2	3360b1	20160bc2	33600bb2	47040p2

---

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