Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15136d |
Isogeny class |
Conductor |
15136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-1937408 = -1 · 212 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,-527] |
[a1,a2,a3,a4,a6] |
j |
-58411072/473 |
j-invariant |
L |
1.4150181193393 |
L(r)(E,1)/r! |
Ω |
0.70750905966965 |
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 |
15136a1 30272a1 |
Quadratic twists by: -4 8 |