Atkin-Lehner |
2+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216f |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-210517040300032 = -1 · 219 · 29 · 614 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14836,-59408] |
[a1,a2,a3,a4,a6] |
Generators |
[103922505:-3529393037:91125] |
Generators of the group modulo torsion |
j |
1377635305383/803058778 |
j-invariant |
L |
4.8820071351019 |
L(r)(E,1)/r! |
Ω |
0.33204598863355 |
Real period |
R |
14.702803944401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130475 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113216l3 3538a4 |
Quadratic twists by: -4 8 |