Atkin-Lehner |
2+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600k |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-497312603920000000 = -1 · 210 · 57 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44675,34123250] |
[a1,a2,a3,a4,a6] |
Generators |
[-2490:165250:27] |
Generators of the group modulo torsion |
j |
-616307443524/31082037745 |
j-invariant |
L |
6.6953013846674 |
L(r)(E,1)/r! |
Ω |
0.24396456772201 |
Real period |
R |
6.8609362348505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020691 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63800c3 25520h3 |
Quadratic twists by: -4 5 |