Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cn |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1218998108160 = -1 · 216 · 312 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2015,-39457] |
[a1,a2,a3,a4,a6] |
Generators |
[53:468:1] |
Generators of the group modulo torsion |
j |
13799183324/18600435 |
j-invariant |
L |
5.2569808464139 |
L(r)(E,1)/r! |
Ω |
0.46017777536578 |
Real period |
R |
1.9039673824011 |
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 |
6720j4 1680c4 20160eg4 33600es3 |
Quadratic twists by: -4 8 -3 5 |