Atkin-Lehner |
2- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
13688b |
Isogeny class |
Conductor |
13688 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
2946971648 = 211 · 293 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 -2 -3 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1152,15212] |
[a1,a2,a3,a4,a6] |
Generators |
[471:296:27] |
Generators of the group modulo torsion |
j |
82628169986/1438951 |
j-invariant |
L |
7.0627451666928 |
L(r)(E,1)/r! |
Ω |
1.4289048938058 |
Real period |
R |
4.9427678478177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27376a1 109504h1 123192d1 |
Quadratic twists by: -4 8 -3 |