Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bi |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-268802020780425 = -1 · 319 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 11- -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5710,-772558] |
[a1,a2,a3,a4,a6] |
Generators |
[16605:-198634:125] |
Generators of the group modulo torsion |
j |
1129889057855/14749082073 |
j-invariant |
L |
4.6811299402882 |
L(r)(E,1)/r! |
Ω |
0.27020297848159 |
Real period |
R |
2.1655617778487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925t1 71775by1 |
Quadratic twists by: -3 5 |