Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948ba |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
1897823538627713424 = 24 · 33 · 77 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1249810,533275301] |
[a1,a2,a3,a4,a6] |
Generators |
[4090:42483:8] |
Generators of the group modulo torsion |
j |
114695881243227904/1008202119561 |
j-invariant |
L |
9.9891695168827 |
L(r)(E,1)/r! |
Ω |
0.26455523156424 |
Real period |
R |
0.44950418326347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564d1 |
Quadratic twists by: -7 |