Atkin-Lehner |
2- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200w |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1677958750000 = -1 · 24 · 57 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,550,62125] |
[a1,a2,a3,a4,a6] |
Generators |
[1486:57291:1] |
Generators of the group modulo torsion |
j |
73598976/6711835 |
j-invariant |
L |
5.680291843991 |
L(r)(E,1)/r! |
Ω |
0.64412767008135 |
Real period |
R |
4.4092903778761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999443061 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24440a1 |
Quadratic twists by: 5 |