Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bj |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-2290029717381120000 = -1 · 216 · 34 · 54 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,184882,-66050944] |
[a1,a2,a3,a4,a6] |
j |
144794100308831/474439680000 |
j-invariant |
L |
2.1171901766999 |
L(r)(E,1)/r! |
Ω |
0.13232438591876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290w1 |
Quadratic twists by: 13 |