Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15288p |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-1208671236864 = -1 · 28 · 32 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 13- 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8689,-319117] |
[a1,a2,a3,a4,a6] |
j |
-7023616/117 |
j-invariant |
L |
3.9519674804677 |
L(r)(E,1)/r! |
Ω |
0.24699796752923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576m1 122304bh1 45864by1 15288d1 |
Quadratic twists by: -4 8 -3 -7 |