Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416i |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9132425188037632 = -1 · 210 · 139 · 292 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25632,-4326544] |
[a1,a2,a3,a4,a6] |
j |
171500/841 |
j-invariant |
L |
1.6541322841411 |
L(r)(E,1)/r! |
Ω |
0.20676653393728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39208i2 78416h2 |
Quadratic twists by: -4 13 |