Atkin-Lehner |
2- 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810s |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-8851576320000 = -1 · 212 · 38 · 54 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5134,-20604] |
[a1,a2,a3,a4,a6] |
j |
14965320359680991/8851576320000 |
j-invariant |
L |
5.1466739486364 |
L(r)(E,1)/r! |
Ω |
0.4288894957197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480ba1 47430m1 79050a1 |
Quadratic twists by: -4 -3 5 |