Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440di |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-3273785634263040000 = -1 · 215 · 38 · 54 · 13 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-915200,347751348] |
[a1,a2,a3,a4,a6] |
j |
-20697232249782316801/799264070865000 |
j-invariant |
L |
3.9961944321346 |
L(r)(E,1)/r! |
Ω |
0.24976219230475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430bf4 |
Quadratic twists by: -4 |