Atkin-Lehner |
2+ 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112336b |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4946795743232 = 211 · 74 · 172 · 592 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148800,-22043104] |
[a1,a2,a3,a4,a6] |
j |
177912094328438402/2415427609 |
j-invariant |
L |
1.94463910726 |
L(r)(E,1)/r! |
Ω |
0.24307983474824 |
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 |
56168c2 |
Quadratic twists by: -4 |