Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520ba |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-27688960 = -1 · 215 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- -1 3 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[402:8046:1] |
Generators of the group modulo torsion |
j |
-658489/40 |
j-invariant |
L |
7.1135158336183 |
L(r)(E,1)/r! |
Ω |
0.66847981440397 |
Real period |
R |
5.3206661445424 |
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 |
1690h1 54080cj1 121680di1 67600ca1 |
Quadratic twists by: -4 8 -3 5 |