Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948bj |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
129550682950416 = 24 · 37 · 73 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83946,9317601] |
[a1,a2,a3,a4,a6] |
Generators |
[345:4641:1] [-292:3003:1] |
Generators of the group modulo torsion |
j |
11921058078677248/23606174007 |
j-invariant |
L |
13.585322361241 |
L(r)(E,1)/r! |
Ω |
0.58622348671552 |
Real period |
R |
0.06130768733994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948c1 |
Quadratic twists by: -7 |