Cremona's table of elliptic curves

6336 = 2⁶ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11+	Signs for the Atkin-Lehner involutions
Class	6336cb	Isogeny class
Conductor	6336	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-23944605696 = -1 · 212 · 312 · 11	Discriminant
Eigenvalues	2- 3- -2  2 11+  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,204,7360]	[a1,a2,a3,a4,a6]
Generators	[32:216:1]	Generators of the group modulo torsion
j	314432/8019	j-invariant
L	3.7746249503126	L(r)(E,1)/r!
Ω	0.89981509341548	Real period
R	2.0974447850086	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	6336cj2 3168y1 2112bb2 69696go2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336cb2

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

---

Quadratic twists for elliptic curve 6336cb2

-4	8	-3	-11
6336cj2	3168y1	2112bb2	69696go2

---

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