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	6720cg	Isogeny class
Conductor	6720	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2721307794014208000 = 219 · 3 · 53 · 712	Discriminant
Eigenvalues	2- 3- 5- 7+  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-412865,-64377537]	[a1,a2,a3,a4,a6]
j	29689921233686449/10380965400750	j-invariant
L	2.3249357146615	L(r)(E,1)/r!
Ω	0.19374464288846	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6720l7 1680k7 20160dr7 33600ex8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720cg7

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	-4	0	6	4	-2	6	8	12	-6	-12	-2	8	0	14	16	12	6	14

---

Quadratic twists for elliptic curve 6720cg7

-4	8	-3	5	-7
6720l7	1680k7	20160dr7	33600ex8	47040ec8

---

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