Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605ba |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-842034706872835 = -1 · 5 · 712 · 233 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22000,618820] |
[a1,a2,a3,a4,a6] |
Generators |
[335:6594:1] [5205:91190:27] |
Generators of the group modulo torsion |
j |
822656953/588245 |
j-invariant |
L |
11.476843758259 |
L(r)(E,1)/r! |
Ω |
0.3180712675009 |
Real period |
R |
18.041308556381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18515h2 129605i2 |
Quadratic twists by: -7 -23 |