Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200bc |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
394264576000000000 = 232 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 1 -1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186700,7174000] |
[a1,a2,a3,a4,a6] |
j |
175710096801/96256000 |
j-invariant |
L |
2.0886694104614 |
L(r)(E,1)/r! |
Ω |
0.26108367612261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cm1 2350d1 15040c1 |
Quadratic twists by: -4 8 5 |