Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
120984b |
Isogeny class |
Conductor |
120984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-83820627379731456 = -1 · 210 · 32 · 717 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -2 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,78976,10976124] |
[a1,a2,a3,a4,a6] |
j |
415292/639 |
j-invariant |
L |
0.92904696789447 |
L(r)(E,1)/r! |
Ω |
0.23226168078816 |
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 |
1704a1 |
Quadratic twists by: -71 |