Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854q |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
3616311488005008 = 24 · 310 · 137 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 4 4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57548,4452096] |
[a1,a2,a3,a4,a6] |
j |
4366714263625/749213712 |
j-invariant |
L |
8.4634131206702 |
L(r)(E,1)/r! |
Ω |
0.42317065579514 |
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 |
4758c1 |
Quadratic twists by: 13 |