Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600el |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
26471025000000 = 26 · 32 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12658,493312] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1000:1] |
Generators of the group modulo torsion |
j |
1906624/225 |
j-invariant |
L |
6.0322744066302 |
L(r)(E,1)/r! |
Ω |
0.64603856749439 |
Real period |
R |
2.3343321459164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040141 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600co1 23520n1 2400ba1 |
Quadratic twists by: -4 5 -7 |