Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47124o |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-1.7886335344379E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1868817,-2259931147] |
[a1,a2,a3,a4,a6] |
Generators |
[770980:58743619:125] |
Generators of the group modulo torsion |
j |
-61883736664914436864/153346496436720279 |
j-invariant |
L |
6.5503970010012 |
L(r)(E,1)/r! |
Ω |
0.060158017978771 |
Real period |
R |
9.0738763524944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708a1 |
Quadratic twists by: -3 |