Atkin-Lehner |
3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715k |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3790800 |
Modular degree for the optimal curve |
Δ |
-3.4140666825298E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2905991,-2102818153] |
[a1,a2,a3,a4,a6] |
Generators |
[30837777505:2683034306504:3869893] |
Generators of the group modulo torsion |
j |
-32494583208065204224/4087674575890875 |
j-invariant |
L |
4.7423373568587 |
L(r)(E,1)/r! |
Ω |
0.057411865295811 |
Real period |
R |
16.520408568592 |
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 |
125715ba1 |
Quadratic twists by: 17 |