Atkin-Lehner |
2- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488j |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
318206429435789312 = 218 · 116 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-171608,-3423760] |
[a1,a2,a3,a4,a6] |
Generators |
[-2157:84392:27] |
Generators of the group modulo torsion |
j |
136451679185265625/77687116561472 |
j-invariant |
L |
9.557307866687 |
L(r)(E,1)/r! |
Ω |
0.25359753644303 |
Real period |
R |
6.2811518914912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15686d3 |
Quadratic twists by: -4 |