Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bj |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
Δ |
3.7137275022265E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-562286336189,162287393423261573] |
[a1,a2,a3,a4,a6] |
Generators |
[705682461:152600254424:1331] |
Generators of the group modulo torsion |
j |
1020031373094940556919127/19267584 |
j-invariant |
L |
14.550233561957 |
L(r)(E,1)/r! |
Ω |
0.033789409416834 |
Real period |
R |
12.665153252022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999387871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362s2 121086bl2 |
Quadratic twists by: -3 -31 |