Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bo |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-39137536000000 = -1 · 214 · 56 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8452,33872] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1288:1] |
Generators of the group modulo torsion |
j |
4075512579504/2388765625 |
j-invariant |
L |
6.6010692983919 |
L(r)(E,1)/r! |
Ω |
0.39214756935915 |
Real period |
R |
2.1041407345742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998502807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125120a2 31280v2 |
Quadratic twists by: -4 8 |