Atkin-Lehner |
3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851d |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-86385082796426943 = -1 · 32 · 239 · 732 |
Discriminant |
Eigenvalues |
1 3+ -2 4 -2 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,95474,-8388641] |
[a1,a2,a3,a4,a6] |
j |
650137090247/583541487 |
j-invariant |
L |
0.74792032405837 |
L(r)(E,1)/r! |
Ω |
0.18698026806537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037c1 |
Quadratic twists by: -23 |