Atkin-Lehner |
2- 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144v |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-8592797696 = -1 · 212 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -1 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63512,6139604] |
[a1,a2,a3,a4,a6] |
Generators |
[158:272:1] |
Generators of the group modulo torsion |
j |
-6917321625184153/2097851 |
j-invariant |
L |
4.8434186772656 |
L(r)(E,1)/r! |
Ω |
1.0489964234156 |
Real period |
R |
0.38476606045052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259a1 |
Quadratic twists by: -4 |