Atkin-Lehner |
2- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
78416r |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2809976980934656 = 212 · 138 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35659,461370] |
[a1,a2,a3,a4,a6] |
Generators |
[122330:42785730:1] |
Generators of the group modulo torsion |
j |
253636137/142129 |
j-invariant |
L |
5.8468491321857 |
L(r)(E,1)/r! |
Ω |
0.3915367573097 |
Real period |
R |
7.4665392500511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993236 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4901c2 6032f2 |
Quadratic twists by: -4 13 |