Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192l |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-31055528805552 = -1 · 24 · 37 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5766,208537] |
[a1,a2,a3,a4,a6] |
Generators |
[14880:200849:125] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
8.2604190496714 |
L(r)(E,1)/r! |
Ω |
0.44724051107749 |
Real period |
R |
4.6174367287986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23064m1 72a1 |
Quadratic twists by: -3 -31 |