Atkin-Lehner |
2+ 3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478r |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
43838646053254416 = 24 · 32 · 78 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1090590,-438344384] |
[a1,a2,a3,a4,a6] |
j |
143452352001020384394073/43838646053254416 |
j-invariant |
L |
2.3638078574476 |
L(r)(E,1)/r! |
Ω |
0.14773799109048 |
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 |
70434bo2 |
Quadratic twists by: -3 |