Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520bp |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16367616000 = 217 · 33 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21312001,-37861950815] |
[a1,a2,a3,a4,a6] |
j |
8167450100737631904002/124875 |
j-invariant |
L |
0.2810628769237 |
L(r)(E,1)/r! |
Ω |
0.070265719232746 |
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 |
35520u4 8880i3 106560fn4 |
Quadratic twists by: -4 8 -3 |