Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ca |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
3.7930203788083E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9928816,-12034925120] |
[a1,a2,a3,a4,a6] |
Generators |
[-41315165690427174:-42824454748486958:22667589754901] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
4.4369166501108 |
L(r)(E,1)/r! |
Ω |
0.085051958411558 |
Real period |
R |
26.083565463837 |
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 |
3630v1 116160ix1 87120fq1 29040cd1 |
Quadratic twists by: -4 8 -3 -11 |