Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
59150ch |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
405288569504000 = 28 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91998,-10704188] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:282:1] |
Generators of the group modulo torsion |
j |
313558873425953/1475789056 |
j-invariant |
L |
6.363142919212 |
L(r)(E,1)/r! |
Ω |
0.27420662477033 |
Real period |
R |
0.3625882788028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59150x2 59150y2 |
Quadratic twists by: 5 13 |