Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13260o |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
594 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-15904479093750000 = -1 · 24 · 311 · 59 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-471890,124760025] |
[a1,a2,a3,a4,a6] |
Generators |
[370:975:1] |
Generators of the group modulo torsion |
j |
-726318275968040118016/994029943359375 |
j-invariant |
L |
5.9904701907016 |
L(r)(E,1)/r! |
Ω |
0.3914226706729 |
Real period |
R |
0.02576490174592 |
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 |
53040bv1 39780k1 66300h1 |
Quadratic twists by: -4 -3 5 |