Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15884i |
Isogeny class |
Conductor |
15884 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
446967419692816 = 24 · 118 · 194 |
Discriminant |
Eigenvalues |
2- -1 -1 0 11- 7 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67266,-6615071] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:209:1] |
Generators of the group modulo torsion |
j |
16142938449664/214358881 |
j-invariant |
L |
3.7168152465292 |
L(r)(E,1)/r! |
Ω |
0.29668738195064 |
Real period |
R |
0.17399605483782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63536m1 15884k1 |
Quadratic twists by: -4 -19 |