Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824l |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
619813389312 = 210 · 36 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15051,709706] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-306:1] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
4.3794403068886 |
L(r)(E,1)/r! |
Ω |
0.91366544621347 |
Real period |
R |
0.39943872280589 |
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 |
15912f1 127296do1 3536a1 |
Quadratic twists by: -4 8 -3 |