Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120bf |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-592440197120 = -1 · 220 · 5 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -3 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,37537] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:136:1] |
Generators of the group modulo torsion |
j |
-68417929/2259980 |
j-invariant |
L |
7.0464968645021 |
L(r)(E,1)/r! |
Ω |
0.76505420532199 |
Real period |
R |
1.5350757274355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120de1 3910b1 |
Quadratic twists by: -4 8 |