Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925q |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21437801266921875 = 311 · 56 · 114 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-278555,56216072] |
[a1,a2,a3,a4,a6] |
Generators |
[264:880:1] |
Generators of the group modulo torsion |
j |
209849322390625/1882056627 |
j-invariant |
L |
4.0881918768334 |
L(r)(E,1)/r! |
Ω |
0.38436947964573 |
Real period |
R |
1.3295123876197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975p2 2277a2 |
Quadratic twists by: -3 5 |