Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fn |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-21461760000000 = -1 · 214 · 36 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5867,138637] |
[a1,a2,a3,a4,a6] |
j |
87228416/83835 |
j-invariant |
L |
1.7861542602362 |
L(r)(E,1)/r! |
Ω |
0.44653850665593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400dt1 27600cj1 22080da1 |
Quadratic twists by: -4 8 5 |