Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13260l |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-235970982000 = -1 · 24 · 35 · 53 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,234,23409] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:117:1] |
Generators of the group modulo torsion |
j |
88184857856/14748186375 |
j-invariant |
L |
5.827943421155 |
L(r)(E,1)/r! |
Ω |
0.7636706506945 |
Real period |
R |
0.12719146698154 |
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 |
53040bo1 39780z1 66300a1 |
Quadratic twists by: -4 -3 5 |