Atkin-Lehner |
2- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26350w |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-76151500000000 = -1 · 28 · 59 · 173 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 1 1 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9112,-252608] |
[a1,a2,a3,a4,a6] |
Generators |
[252:4124:1] |
Generators of the group modulo torsion |
j |
42838260499/38989568 |
j-invariant |
L |
6.1336287098686 |
L(r)(E,1)/r! |
Ω |
0.33559404388561 |
Real period |
R |
0.38076936639303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26350h1 |
Quadratic twists by: 5 |