Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bs |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
26326059319296 = 217 · 38 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 11- -5 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7521,43263] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:216:1] [-61:528:1] |
Generators of the group modulo torsion |
j |
359003179442/200851893 |
j-invariant |
L |
10.32145487973 |
L(r)(E,1)/r! |
Ω |
0.57814423279974 |
Real period |
R |
0.1859659733637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576bx1 6072c1 |
Quadratic twists by: -4 8 |