Atkin-Lehner |
2- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13420i |
Isogeny class |
Conductor |
13420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2684000000 = 28 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11- 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3620,-82600] |
[a1,a2,a3,a4,a6] |
j |
20498846518096/10484375 |
j-invariant |
L |
3.6929803526993 |
L(r)(E,1)/r! |
Ω |
0.61549672544988 |
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 |
53680ba2 120780g2 67100f2 |
Quadratic twists by: -4 -3 5 |