Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
105996h |
Isogeny class |
Conductor |
105996 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-641274992734464 = -1 · 28 · 36 · 112 · 734 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21476,137828] |
[a1,a2,a3,a4,a6] |
Generators |
[176:3066:1] |
Generators of the group modulo torsion |
j |
35362123771568/20702317689 |
j-invariant |
L |
12.36340202597 |
L(r)(E,1)/r! |
Ω |
0.31041124040314 |
Real period |
R |
0.55318201771208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105996e1 |
Quadratic twists by: -11 |