Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680bf |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3890625000000 = -1 · 26 · 3 · 512 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4876,-160190] |
[a1,a2,a3,a4,a6] |
j |
-200365937932096/60791015625 |
j-invariant |
L |
0.56254844058425 |
L(r)(E,1)/r! |
Ω |
0.2812742158258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bs1 39840n2 |
Quadratic twists by: -4 8 |