Atkin-Lehner |
2- 3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780j |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1368460928027E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99543,-513132482] |
[a1,a2,a3,a4,a6] |
Generators |
[2078:90846:1] [6978:63833:8] |
Generators of the group modulo torsion |
j |
-584505220299856/609163930042605 |
j-invariant |
L |
12.020515734791 |
L(r)(E,1)/r! |
Ω |
0.084470975561511 |
Real period |
R |
17.787937883861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43260g2 |
Quadratic twists by: -3 |