Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310n |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
917504 |
Modular degree for the optimal curve |
Δ |
1706490257316249600 = 232 · 37 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-298800,-1336064] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:5375:1] |
Generators of the group modulo torsion |
j |
4047051964543660801/2340864550502400 |
j-invariant |
L |
3.577559753545 |
L(r)(E,1)/r! |
Ω |
0.22364260010038 |
Real period |
R |
3.9991930785339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770z1 |
Quadratic twists by: -3 |