Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cy |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-476872704 = -1 · 215 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,1364] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:48:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
8.1506802553125 |
L(r)(E,1)/r! |
Ω |
1.5314793960669 |
Real period |
R |
0.44350799387424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3234d1 103488fr1 77616fp1 25872bf1 |
Quadratic twists by: -4 8 -3 -7 |