Atkin-Lehner |
2- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58136k |
Isogeny class |
Conductor |
58136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165984 |
Modular degree for the optimal curve |
Δ |
-8979563776768 = -1 · 28 · 138 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 -4 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2929,-157533] |
[a1,a2,a3,a4,a6] |
j |
-13312/43 |
j-invariant |
L |
0.5979369222952 |
L(r)(E,1)/r! |
Ω |
0.29896845973855 |
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 |
116272j1 58136e1 |
Quadratic twists by: -4 13 |