Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948bb |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
2941114293555984 = 24 · 315 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49590,3338901] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1701:1] |
Generators of the group modulo torsion |
j |
2457540546886912/535917327543 |
j-invariant |
L |
10.007255626009 |
L(r)(E,1)/r! |
Ω |
0.42605308350708 |
Real period |
R |
0.78294277869786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948p1 |
Quadratic twists by: -7 |