Atkin-Lehner |
3- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23985s |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50212006869375 = 37 · 54 · 13 · 414 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9752,147876] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:744:1] |
Generators of the group modulo torsion |
j |
140681020636729/68877924375 |
j-invariant |
L |
3.9574935829319 |
L(r)(E,1)/r! |
Ω |
0.56282828910063 |
Real period |
R |
0.87893005281766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7995b4 119925t3 |
Quadratic twists by: -3 5 |