Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504bw |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
298551744 = 26 · 310 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76791,8190560] |
[a1,a2,a3,a4,a6] |
j |
1073364380875072/6399 |
j-invariant |
L |
1.1797229406172 |
L(r)(E,1)/r! |
Ω |
1.1797229403927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45504bl1 22752f4 15168h1 |
Quadratic twists by: -4 8 -3 |