Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
11242i |
Isogeny class |
Conductor |
11242 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
136507019264 = 212 · 73 · 113 · 73 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16512,815104] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:1280:1] |
Generators of the group modulo torsion |
j |
497879673215404033/136507019264 |
j-invariant |
L |
3.5640293872945 |
L(r)(E,1)/r! |
Ω |
1.0127932565443 |
Real period |
R |
0.29325081602005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89936n1 101178v1 78694v1 123662g1 |
Quadratic twists by: -4 -3 -7 -11 |