Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15808o |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1703205788450816 = -1 · 231 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -1 1 3 -4 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64065,-6528287] |
[a1,a2,a3,a4,a6] |
j |
-110931033861649/6497214464 |
j-invariant |
L |
1.1962754873483 |
L(r)(E,1)/r! |
Ω |
0.14953443591854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15808d1 3952j1 |
Quadratic twists by: -4 8 |