Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450c |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-110240000000 = -1 · 211 · 57 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 6 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,974,10948] |
[a1,a2,a3,a4,a6] |
j |
6549699311/7055360 |
j-invariant |
L |
2.7990129120302 |
L(r)(E,1)/r! |
Ω |
0.6997532280046 |
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 |
6890m1 |
Quadratic twists by: 5 |