Atkin-Lehner |
2- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50456h |
Isogeny class |
Conductor |
50456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380928 |
Modular degree for the optimal curve |
Δ |
1945119461884928 = 210 · 72 · 173 · 534 |
Discriminant |
Eigenvalues |
2- -2 4 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87736,-9804288] |
[a1,a2,a3,a4,a6] |
Generators |
[-1323820:-3667727:8000] |
Generators of the group modulo torsion |
j |
72939401745753316/1899530724497 |
j-invariant |
L |
5.558407294243 |
L(r)(E,1)/r! |
Ω |
0.27783999734542 |
Real period |
R |
10.002892577261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100912a1 |
Quadratic twists by: -4 |