Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770ct |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
308842659840 = 216 · 3 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-746561,-248344695] |
[a1,a2,a3,a4,a6] |
j |
1611188063620251649/10813440 |
j-invariant |
L |
2.5986824268524 |
L(r)(E,1)/r! |
Ω |
0.16241765174433 |
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 |
55770bg1 |
Quadratic twists by: 13 |