Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504be |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7176731308032 = -1 · 212 · 3 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4107,78333] |
[a1,a2,a3,a4,a6] |
Generators |
[7780:94471:125] |
Generators of the group modulo torsion |
j |
15454208000/14480427 |
j-invariant |
L |
4.0011478729589 |
L(r)(E,1)/r! |
Ω |
0.48806066188775 |
Real period |
R |
4.0990272158797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719i2 75504bs2 |
Quadratic twists by: -4 -11 |