Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bb |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5193216 |
Modular degree for the optimal curve |
Δ |
-2.0980203020666E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13674582,20676834036] |
[a1,a2,a3,a4,a6] |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
1.9034673590608 |
L(r)(E,1)/r! |
Ω |
0.11896671146631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cr1 76050fq1 5850bl1 |
Quadratic twists by: -3 5 13 |