Atkin-Lehner |
2- 3- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
75696k |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-1741884862464 = -1 · 212 · 32 · 193 · 832 |
Discriminant |
Eigenvalues |
2- 3- -1 1 3 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1221,-65997] |
[a1,a2,a3,a4,a6] |
j |
-49188818944/425264859 |
j-invariant |
L |
1.4170297415186 |
L(r)(E,1)/r! |
Ω |
0.35425743484348 |
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 |
4731b1 |
Quadratic twists by: -4 |