Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89528g |
Isogeny class |
Conductor |
89528 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
261139265318416 = 24 · 198 · 312 |
Discriminant |
Eigenvalues |
2- -1 3 -4 0 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16004,-47759] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:361:1] |
Generators of the group modulo torsion |
j |
1668352/961 |
j-invariant |
L |
4.905201070491 |
L(r)(E,1)/r! |
Ω |
0.46219710509004 |
Real period |
R |
0.88439921052384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89528b1 |
Quadratic twists by: -19 |