Atkin-Lehner |
2+ 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850c |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4943246502650625000 = 23 · 34 · 57 · 134 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-594750,-140692500] |
[a1,a2,a3,a4,a6] |
j |
1489046222513172961/316367776169640 |
j-invariant |
L |
1.3960039542584 |
L(r)(E,1)/r! |
Ω |
0.17450048653068 |
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 |
16770bf3 |
Quadratic twists by: 5 |