Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
32960w |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5900907629772800 = 221 · 52 · 1034 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82412,8322384] |
[a1,a2,a3,a4,a6] |
j |
236132166498129/22510176200 |
j-invariant |
L |
0.82863398124245 |
L(r)(E,1)/r! |
Ω |
0.41431699062088 |
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 |
32960f3 8240i4 |
Quadratic twists by: -4 8 |