Atkin-Lehner |
3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275i |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
237509765625 = 3 · 510 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12876,560773] |
[a1,a2,a3,a4,a6] |
Generators |
[-22278:203531:216] |
Generators of the group modulo torsion |
j |
15107691357361/15200625 |
j-invariant |
L |
8.547330293987 |
L(r)(E,1)/r! |
Ω |
0.98504320345164 |
Real period |
R |
4.3385560470532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055c1 |
Quadratic twists by: 5 |