Atkin-Lehner |
2- 3+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
78864p |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1947696934846464 = -1 · 215 · 35 · 31 · 534 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 3 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44136,-4138128] |
[a1,a2,a3,a4,a6] |
j |
-2321413559693929/475511946984 |
j-invariant |
L |
2.6063637091021 |
L(r)(E,1)/r! |
Ω |
0.16289773225895 |
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 |
9858b1 |
Quadratic twists by: -4 |