Atkin-Lehner |
2+ 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110r |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
27184584960 = 28 · 39 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27360,1748736] |
[a1,a2,a3,a4,a6] |
j |
3107086841064961/37290240 |
j-invariant |
L |
2.1550258465066 |
L(r)(E,1)/r! |
Ω |
1.0775128650321 |
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 |
32370bj1 |
Quadratic twists by: -3 |