Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700bk |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-94122775500000000 = -1 · 28 · 3 · 59 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225333,43661463] |
[a1,a2,a3,a4,a6] |
j |
-524288/39 |
j-invariant |
L |
3.9834545508542 |
L(r)(E,1)/r! |
Ω |
0.33195454590488 |
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 |
50700n1 3900n1 |
Quadratic twists by: 5 13 |