Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120u |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-128122880 = -1 · 216 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -5 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-545] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
-4/1955 |
j-invariant |
L |
3.4442649161504 |
L(r)(E,1)/r! |
Ω |
0.84812950008109 |
Real period |
R |
2.0305065191763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998783764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120ca1 15640e1 |
Quadratic twists by: -4 8 |