Atkin-Lehner |
5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6565c |
Isogeny class |
Conductor |
6565 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4760817470703125 = -1 · 510 · 136 · 101 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-142495,-20932554] |
[a1,a2,a3,a4,a6] |
j |
-319981082674155393609/4760817470703125 |
j-invariant |
L |
1.4730471866556 |
L(r)(E,1)/r! |
Ω |
0.1227539322213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105040o2 59085i2 32825a2 85345d2 |
Quadratic twists by: -4 -3 5 13 |