Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176o |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32177419746990336 = 28 · 312 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383799,-91109590] |
[a1,a2,a3,a4,a6] |
j |
6940769488/35721 |
j-invariant |
L |
3.0699275110529 |
L(r)(E,1)/r! |
Ω |
0.19187047073024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392q2 504g2 |
Quadratic twists by: -3 13 |