Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100g |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-163193984868750000 = -1 · 24 · 3 · 58 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67367,-18256238] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2125:1] |
Generators of the group modulo torsion |
j |
135244271796224/652775939475 |
j-invariant |
L |
3.7953776650935 |
L(r)(E,1)/r! |
Ω |
0.16268903891638 |
Real period |
R |
1.2960572890151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220k3 |
Quadratic twists by: 5 |