Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
81180h |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
54432000 |
Modular degree for the optimal curve |
Δ |
-2.517625706137E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,633234777,-4545417834578] |
[a1,a2,a3,a4,a6] |
Generators |
[1834412770:7027344253908:125] |
Generators of the group modulo torsion |
j |
150470198145383828085247664/134903640803809517578125 |
j-invariant |
L |
4.5329197670524 |
L(r)(E,1)/r! |
Ω |
0.020723413791105 |
Real period |
R |
10.936711037923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27060k1 |
Quadratic twists by: -3 |