Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700bl |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
369360 |
Modular degree for the optimal curve |
Δ |
-13032384300000000 = -1 · 28 · 33 · 58 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56333,-7545537] |
[a1,a2,a3,a4,a6] |
j |
-40960/27 |
j-invariant |
L |
0.45150270345834 |
L(r)(E,1)/r! |
Ω |
0.15050090125292 |
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 |
50700c1 300b1 |
Quadratic twists by: 5 13 |