Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520cb |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6525951252889600 = 222 · 52 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147052,-21353904] |
[a1,a2,a3,a4,a6] |
j |
1341518286067569/24894528400 |
j-invariant |
L |
1.9525903644059 |
L(r)(E,1)/r! |
Ω |
0.24407379561407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51520be2 12880m2 |
Quadratic twists by: -4 8 |