Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400cs |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
779700142080000 = 225 · 37 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 5 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31008,-1605888] |
[a1,a2,a3,a4,a6] |
j |
1288009359025/304570368 |
j-invariant |
L |
2.1955936863805 |
L(r)(E,1)/r! |
Ω |
0.36593228106342 |
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 |
2550bf1 81600jy1 61200gt1 20400de1 |
Quadratic twists by: -4 8 -3 5 |