Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608n |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
16 |
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 |
[1514923390524350:-110053839481614171:256047875000] |
Generators of the group modulo torsion |
j |
1426670076244508992/19652393907 |
j-invariant |
L |
9.2266652058531 |
L(r)(E,1)/r! |
Ω |
0.1113677136829 |
Real period |
R |
20.712163481526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112608bo4 37536q4 |
Quadratic twists by: -4 -3 |