Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114400bg |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2513368000000000 = 212 · 59 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35500,900000] |
[a1,a2,a3,a4,a6] |
j |
618470208/314171 |
j-invariant |
L |
3.2316493502931 |
L(r)(E,1)/r! |
Ω |
0.40395624826332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400m2 114400r2 |
Quadratic twists by: -4 5 |