Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058n |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38106770753717136 = 24 · 32 · 232 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-106825,9602876] |
[a1,a2,a3,a4,a6] |
Generators |
[14124468:-2244175025:804357] |
Generators of the group modulo torsion |
j |
226646274673/64064016 |
j-invariant |
L |
9.0315355807768 |
L(r)(E,1)/r! |
Ω |
0.33948701632661 |
Real period |
R |
13.301739284284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019515 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4002l2 |
Quadratic twists by: 29 |