Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58608u |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25079332810752 = 212 · 33 · 112 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15315,-688558] |
[a1,a2,a3,a4,a6] |
j |
3592121380875/226773481 |
j-invariant |
L |
1.7234366739881 |
L(r)(E,1)/r! |
Ω |
0.43085916853394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3663b2 58608x2 |
Quadratic twists by: -4 -3 |