Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320cm |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
105232361656320 = 212 · 36 · 5 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43096,-3422380] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:174:1] |
Generators of the group modulo torsion |
j |
2161149093764569/25691494545 |
j-invariant |
L |
7.0317963096743 |
L(r)(E,1)/r! |
Ω |
0.3315901358199 |
Real period |
R |
0.58906359035371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999966046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395c1 |
Quadratic twists by: -4 |