Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8800d |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[24:68:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
2.7622038805406 |
L(r)(E,1)/r! |
Ω |
0.51191374142776 |
Real period |
R |
2.6979192557291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8800i1 17600cp1 79200dy1 352e1 |
Quadratic twists by: -4 8 -3 5 |