Atkin-Lehner |
2- 3- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
33726r |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
942148400320512 = 212 · 312 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24569,125433] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1075:1] |
Generators of the group modulo torsion |
j |
1640163934046017297/942148400320512 |
j-invariant |
L |
8.4492067809419 |
L(r)(E,1)/r! |
Ω |
0.42384655273446 |
Real period |
R |
0.55373858026055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101178o1 |
Quadratic twists by: -3 |