Atkin-Lehner |
2- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
95942x |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
195696 |
Modular degree for the optimal curve |
Δ |
-194548884992 = -1 · 29 · 72 · 11 · 893 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11+ 4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1107,15509] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:120:1] |
Generators of the group modulo torsion |
j |
3064349097999/3970385408 |
j-invariant |
L |
13.403353971867 |
L(r)(E,1)/r! |
Ω |
0.67687616124138 |
Real period |
R |
2.2001979641185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942u1 |
Quadratic twists by: -7 |