Atkin-Lehner |
2+ 3- 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818g |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4428938836963501056 = 210 · 310 · 72 · 232 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25981551,-50967053523] |
[a1,a2,a3,a4,a6] |
j |
2660672451310635079762417/6075361916273664 |
j-invariant |
L |
2.4073314813179 |
L(r)(E,1)/r! |
Ω |
0.066870311318005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39606t2 |
Quadratic twists by: -3 |