Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8800i |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-85184000000 = -1 · 212 · 56 · 113 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 11- 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,14000] |
[a1,a2,a3,a4,a6] |
j |
13824/1331 |
j-invariant |
L |
4.9577057851397 |
L(r)(E,1)/r! |
Ω |
0.82628429752329 |
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 |
8800d1 17600ca1 79200dg1 352f1 |
Quadratic twists by: -4 8 -3 5 |