Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50616i |
Isogeny class |
Conductor |
50616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
1436865951744 = 211 · 36 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3- -3 0 1 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12459,-532154] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:333:8] |
Generators of the group modulo torsion |
j |
143256979154/962407 |
j-invariant |
L |
4.1962073707345 |
L(r)(E,1)/r! |
Ω |
0.45206883048817 |
Real period |
R |
1.5470385214755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232f1 5624a1 |
Quadratic twists by: -4 -3 |