Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520ba |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-44302336000 = -1 · 221 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- -1 3 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,880,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[10:90:1] |
Generators of the group modulo torsion |
j |
108750551/64000 |
j-invariant |
L |
7.1135158336183 |
L(r)(E,1)/r! |
Ω |
0.66847981440397 |
Real period |
R |
1.7735553815141 |
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 |
1690h2 54080cj2 121680di2 67600ca2 |
Quadratic twists by: -4 8 -3 5 |