Atkin-Lehner |
2- 3+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79992j |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
677377375488 = 28 · 39 · 113 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 11+ 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3348,-63180] |
[a1,a2,a3,a4,a6] |
j |
823661568/134431 |
j-invariant |
L |
2.5382799910149 |
L(r)(E,1)/r! |
Ω |
0.63457000852666 |
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 |
79992c1 |
Quadratic twists by: -3 |