Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
88880h |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-71104000000 = -1 · 212 · 56 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,-12880] |
[a1,a2,a3,a4,a6] |
Generators |
[38871420:136549792:1157625] |
Generators of the group modulo torsion |
j |
-702595369/17359375 |
j-invariant |
L |
11.222828554424 |
L(r)(E,1)/r! |
Ω |
0.47409543711453 |
Real period |
R |
11.836043632122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5555a1 |
Quadratic twists by: -4 |