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	6720i	Isogeny class
Conductor	6720	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	71137851402240000 = 214 · 310 · 54 · 76	Discriminant
Eigenvalues	2+ 3+ 5- 7+  0 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-124465,-10957775]	[a1,a2,a3,a4,a6]
j	13015144447800784/4341909875625	j-invariant
L	1.0439849765106	L(r)(E,1)/r!
Ω	0.26099624412765	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6720cl2 840d2 20160y2 33600cs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720i2

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	-6	-2	-4	4	-6	0	-6	-2	4	8	2	12	-6	4	-12	10	-8	12	14	2

---

Quadratic twists for elliptic curve 6720i2

-4	8	-3	5	-7
6720cl2	840d2	20160y2	33600cs2	47040ch2

---

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