Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800og |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-3859475445000000 = -1 · 26 · 38 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75675,-8552000] |
[a1,a2,a3,a4,a6] |
j |
-65743598656/5294205 |
j-invariant |
L |
3.4383001655872 |
L(r)(E,1)/r! |
Ω |
0.14326249901694 |
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 |
100800mq1 50400dy2 33600ha1 20160ez1 |
Quadratic twists by: -4 8 -3 5 |