Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568m |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64819163136 = 212 · 3 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1057,-4655] |
[a1,a2,a3,a4,a6] |
j |
14526784/7203 |
j-invariant |
L |
3.5242239878874 |
L(r)(E,1)/r! |
Ω |
0.88105609124076 |
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 |
113568db2 113568cj2 |
Quadratic twists by: -4 13 |