Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475s |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2105881671181640625 = 312 · 510 · 74 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-669380,-198727378] |
[a1,a2,a3,a4,a6] |
j |
2912015927948401/184878500625 |
j-invariant |
L |
0.67029592780001 |
L(r)(E,1)/r! |
Ω |
0.16757398195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6825h2 4095i2 |
Quadratic twists by: -3 5 |