Atkin-Lehner |
3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565bw |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
548873886825 = 36 · 52 · 116 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9279,-339872] |
[a1,a2,a3,a4,a6] |
Generators |
[60816:617252:343] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
8.3079240384102 |
L(r)(E,1)/r! |
Ω |
0.48661397020858 |
Real period |
R |
8.5364627257164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10285e1 765c1 |
Quadratic twists by: -3 -11 |