Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288a |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-146988032 = -1 · 210 · 23 · 792 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 0 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,607] |
[a1,a2,a3,a4,a6] |
Generators |
[138:553:8] |
Generators of the group modulo torsion |
j |
-42592000/143543 |
j-invariant |
L |
7.3974285881427 |
L(r)(E,1)/r! |
Ω |
1.6062323677315 |
Real period |
R |
2.3027267875568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288ba1 7268a1 |
Quadratic twists by: -4 8 |