Atkin-Lehner |
2- 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310bp |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
37149741158400 = 212 · 33 · 52 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123398,16712597] |
[a1,a2,a3,a4,a6] |
j |
7696282684547850147/1375916339200 |
j-invariant |
L |
5.0391188803467 |
L(r)(E,1)/r! |
Ω |
0.62988986009732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
50310i3 |
Quadratic twists by: -3 |