Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fq |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-87355769330073600 = -1 · 234 · 38 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,34548,-14003696] |
[a1,a2,a3,a4,a6] |
Generators |
[1014867558:-5851381760:5000211] |
Generators of the group modulo torsion |
j |
23862997439/457113600 |
j-invariant |
L |
7.0169889829455 |
L(r)(E,1)/r! |
Ω |
0.16553337747062 |
Real period |
R |
10.597543963168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ca1 22320bn1 29760cm1 |
Quadratic twists by: -4 8 -3 |