Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bo |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
58681733767999488 = 212 · 311 · 172 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3377244,2388837472] |
[a1,a2,a3,a4,a6] |
Generators |
[6:48668:1] |
Generators of the group modulo torsion |
j |
1426670076244508992/19652393907 |
j-invariant |
L |
7.455711571211 |
L(r)(E,1)/r! |
Ω |
0.32082455236629 |
Real period |
R |
2.9049021960801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965249 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112608n4 37536g4 |
Quadratic twists by: -4 -3 |