Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520n |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1411670956533760000 = -1 · 214 · 54 · 1310 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180323,64314978] |
[a1,a2,a3,a4,a6] |
j |
-32798729601/71402500 |
j-invariant |
L |
0.95857248120721 |
L(r)(E,1)/r! |
Ω |
0.2396431203018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1690a4 54080cs3 121680em3 67600be3 |
Quadratic twists by: -4 8 -3 5 |