Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640cs |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
20388160 = 26 · 5 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3 5- 1 4 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142,614] |
[a1,a2,a3,a4,a6] |
j |
4947761664/318565 |
j-invariant |
L |
8.4870690522897 |
L(r)(E,1)/r! |
Ω |
2.1217667659333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640ct1 60320c1 |
Quadratic twists by: -4 8 |