Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832bf |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.2373256230555E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11787489,8670420225] |
[a1,a2,a3,a4,a6] |
Generators |
[-1963:155696:1] |
Generators of the group modulo torsion |
j |
2763807046406828660452/1104328250588296107 |
j-invariant |
L |
2.6661571703264 |
L(r)(E,1)/r! |
Ω |
0.099279657326669 |
Real period |
R |
6.7137549346553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832n2 32208d2 |
Quadratic twists by: -4 8 |