Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13600k |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-27200000000 = -1 · 212 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 4 7 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10833,-430463] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6700:1] |
Generators of the group modulo torsion |
j |
-87880000/17 |
j-invariant |
L |
4.516457197816 |
L(r)(E,1)/r! |
Ω |
0.23397744397366 |
Real period |
R |
3.2171599685797 |
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 |
13600j1 27200cs1 122400dz1 13600m1 |
Quadratic twists by: -4 8 -3 5 |