Atkin-Lehner |
3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52155i |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5.7018481666812E+27 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 6 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1121275202,13987792883454] |
[a1,a2,a3,a4,a6] |
Generators |
[14162:-980994:1] |
Generators of the group modulo torsion |
j |
213861611882913308504467379929/7821465249219779794921875 |
j-invariant |
L |
5.2853996628448 |
L(r)(E,1)/r! |
Ω |
0.042400519063691 |
Real period |
R |
6.2327063201254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17385c2 |
Quadratic twists by: -3 |