Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800f |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-968000000000 = -1 · 212 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,367,-47137] |
[a1,a2,a3,a4,a6] |
j |
704/125 |
j-invariant |
L |
3.3233279020347 |
L(r)(E,1)/r! |
Ω |
0.41541598611389 |
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 |
96800br1 19360z1 96800bn1 |
Quadratic twists by: -4 5 -11 |