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 |
-2.0476410406123E+19 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,680232,-27956752] |
[a1,a2,a3,a4,a6] |
Generators |
[25605237:1403909144:9261] |
Generators of the group modulo torsion |
j |
8498343892448702375/4999123634307352 |
j-invariant |
L |
9.557307866687 |
L(r)(E,1)/r! |
Ω |
0.12679876822152 |
Real period |
R |
12.562303782982 |
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 |
15686d4 |
Quadratic twists by: -4 |