Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35090p |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-3692048771502080 = -1 · 212 · 5 · 118 · 292 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-806891,278926385] |
[a1,a2,a3,a4,a6] |
Generators |
[1166:29809:1] |
Generators of the group modulo torsion |
j |
-271035937230289/17223680 |
j-invariant |
L |
11.096733040275 |
L(r)(E,1)/r! |
Ω |
0.42012329402953 |
Real period |
R |
3.3016299018565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35090e1 |
Quadratic twists by: -11 |