Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600fx |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-976276800000000 = -1 · 212 · 39 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 0 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55875,5301250] |
[a1,a2,a3,a4,a6] |
j |
-16539745/837 |
j-invariant |
L |
1.9568436396993 |
L(r)(E,1)/r! |
Ω |
0.4892111512944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6975q1 37200do1 111600dz1 |
Quadratic twists by: -4 -3 5 |