Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672v |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1376185645598609664 = 28 · 38 · 78 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1880884,-991888804] |
[a1,a2,a3,a4,a6] |
Generators |
[-769:588:1] |
Generators of the group modulo torsion |
j |
2874550971439250865232/5375725178119569 |
j-invariant |
L |
8.1566166456252 |
L(r)(E,1)/r! |
Ω |
0.12893113947147 |
Real period |
R |
1.9769798928361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63336m2 |
Quadratic twists by: -4 |