Atkin-Lehner |
2- 3- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15642h |
Isogeny class |
Conductor |
15642 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-1027548758016 = -1 · 214 · 38 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4091,-110869] |
[a1,a2,a3,a4,a6] |
j |
-10384488145513/1409531904 |
j-invariant |
L |
4.1474522399872 |
L(r)(E,1)/r! |
Ω |
0.29624658857051 |
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 |
125136u1 5214a1 |
Quadratic twists by: -4 -3 |