Atkin-Lehner |
2- 3- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534bi |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-109527957869616 = -1 · 24 · 312 · 11 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84002,9405393] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-201:1] |
Generators of the group modulo torsion |
j |
-89920811116864729/150244112304 |
j-invariant |
L |
14.012509368247 |
L(r)(E,1)/r! |
Ω |
0.59370062428831 |
Real period |
R |
0.73756182782286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35178g1 |
Quadratic twists by: -3 |