Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058bb |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
119740671894223242 = 2 · 38 · 232 · 297 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-227508,38287494] |
[a1,a2,a3,a4,a6] |
Generators |
[17670:803571:8] |
Generators of the group modulo torsion |
j |
2189403771625/201304602 |
j-invariant |
L |
12.282372388101 |
L(r)(E,1)/r! |
Ω |
0.32271698571147 |
Real period |
R |
2.3787042782604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002a2 |
Quadratic twists by: 29 |