Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400ca |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1002700800000000 = 224 · 32 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40408,-2716688] |
[a1,a2,a3,a4,a6] |
j |
114013572049/15667200 |
j-invariant |
L |
1.3591968415813 |
L(r)(E,1)/r! |
Ω |
0.33979921039532 |
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 |
2550k1 81600ii1 61200gd1 4080bb1 |
Quadratic twists by: -4 8 -3 5 |