Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752bd |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
24946999820288 = 220 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14699,642458] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:896:1] |
Generators of the group modulo torsion |
j |
85748618900673/6090576128 |
j-invariant |
L |
5.8152455756422 |
L(r)(E,1)/r! |
Ω |
0.6583022512576 |
Real period |
R |
1.1042126858394 |
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 |
3094e1 99008ct1 |
Quadratic twists by: -4 8 |