Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880df |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4314624000 = -1 · 212 · 3 · 53 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,359,1895] |
[a1,a2,a3,a4,a6] |
Generators |
[949:29256:1] |
Generators of the group modulo torsion |
j |
1245766976/1053375 |
j-invariant |
L |
7.5057731448071 |
L(r)(E,1)/r! |
Ω |
0.89618510507241 |
Real period |
R |
4.1876243547789 |
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 |
50880by1 25440g1 |
Quadratic twists by: -4 8 |