Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
34138i |
Isogeny class |
Conductor |
34138 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
79968 |
Modular degree for the optimal curve |
Δ |
-63898610434048 = -1 · 217 · 136 · 101 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 -4 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,644,-384705] |
[a1,a2,a3,a4,a6] |
Generators |
[309:5253:1] |
Generators of the group modulo torsion |
j |
6128487/13238272 |
j-invariant |
L |
6.0702896803843 |
L(r)(E,1)/r! |
Ω |
0.28835163221767 |
Real period |
R |
0.61916740475124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
202a1 |
Quadratic twists by: 13 |