Atkin-Lehner |
2+ 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850d |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.8036739070729E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5648174650,163362072164500] |
[a1,a2,a3,a4,a6] |
j |
1275346040248469980391660496289/179435130052665600000000 |
j-invariant |
L |
0.52473583662276 |
L(r)(E,1)/r! |
Ω |
0.043727915298525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23970t2 |
Quadratic twists by: 5 |