Atkin-Lehner |
2+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34112b |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
171520 |
Modular degree for the optimal curve |
Δ |
-81807741157376 = -1 · 217 · 135 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -3 5 -6 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2623,-432959] |
[a1,a2,a3,a4,a6] |
j |
15220996126/624143533 |
j-invariant |
L |
1.1684656285476 |
L(r)(E,1)/r! |
Ω |
0.29211640714123 |
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 |
34112n1 4264b1 |
Quadratic twists by: -4 8 |