Atkin-Lehner |
3- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845f |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-137399641875 = -1 · 311 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 0 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-228,17883] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1012:1] |
Generators of the group modulo torsion |
j |
-1798045696/188476875 |
j-invariant |
L |
4.6689751123885 |
L(r)(E,1)/r! |
Ω |
0.85107892016185 |
Real period |
R |
0.68574356058441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18615j1 |
Quadratic twists by: -3 |