Atkin-Lehner |
2+ 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110t |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-50341824000 = -1 · 29 · 36 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,-10800] |
[a1,a2,a3,a4,a6] |
j |
881974079/69056000 |
j-invariant |
L |
0.53616114153501 |
L(r)(E,1)/r! |
Ω |
0.53616101766265 |
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 |
10790j1 |
Quadratic twists by: -3 |