Atkin-Lehner |
2+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048a |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
5178543797504 = 28 · 78 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 11- 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5945,-136387] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3234:1] |
Generators of the group modulo torsion |
j |
15748096/3509 |
j-invariant |
L |
12.502349666335 |
L(r)(E,1)/r! |
Ω |
0.55235098570263 |
Real period |
R |
0.94311633029868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125048n1 |
Quadratic twists by: -7 |