Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ff |
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- -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7758,91512] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:588:1] |
Generators of the group modulo torsion |
j |
438976/225 |
j-invariant |
L |
5.7550527938086 |
L(r)(E,1)/r! |
Ω |
0.58949387772098 |
Real period |
R |
2.4406753863575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004797 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600gz1 23520x1 2400bb1 |
Quadratic twists by: -4 5 -7 |