Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960bz |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-281639600000000 = -1 · 210 · 58 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11+ 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17392,1196376] |
[a1,a2,a3,a4,a6] |
j |
-568162198831104/275038671875 |
j-invariant |
L |
4.0955426236729 |
L(r)(E,1)/r! |
Ω |
0.51194282331327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80960ba1 20240r1 |
Quadratic twists by: -4 8 |