Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ba |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1058841000000 = 26 · 32 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2858,32712] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:294:1] [-33:300:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
9.5830978373847 |
L(r)(E,1)/r! |
Ω |
0.79202453455286 |
Real period |
R |
3.0248740474608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992696 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600ha1 4704bf1 2400m1 |
Quadratic twists by: -4 5 -7 |