Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576cl |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
79030009856 = 214 · 76 · 41 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2417,42895] |
[a1,a2,a3,a4,a6] |
Generators |
[41:120:1] |
Generators of the group modulo torsion |
j |
810448/41 |
j-invariant |
L |
6.4081275478459 |
L(r)(E,1)/r! |
Ω |
1.0710515410827 |
Real period |
R |
2.991512142355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000261188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576x1 32144d1 2624h1 |
Quadratic twists by: -4 8 -7 |