Atkin-Lehner |
3+ 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325i |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79360 |
Modular degree for the optimal curve |
Δ |
80203125 = 3 · 56 · 29 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 1 2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1158,-14782] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:0:1] |
Generators of the group modulo torsion |
j |
11000295424/5133 |
j-invariant |
L |
2.972160574093 |
L(r)(E,1)/r! |
Ω |
0.81837683711789 |
Real period |
R |
1.8158875906378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996235647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133c1 |
Quadratic twists by: 5 |