Atkin-Lehner |
2- 83- |
Signs for the Atkin-Lehner involutions |
Class |
110224k |
Isogeny class |
Conductor |
110224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
881664 |
Modular degree for the optimal curve |
Δ |
-111149264853512192 = -1 · 212 · 837 |
Discriminant |
Eigenvalues |
2- 1 2 3 -3 6 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107928,-8392588] |
[a1,a2,a3,a4,a6] |
Generators |
[11030:168904:125] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
11.44450557784 |
L(r)(E,1)/r! |
Ω |
0.18519804083852 |
Real period |
R |
7.7245050027307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6889a1 1328e1 |
Quadratic twists by: -4 -83 |