Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694x |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.4954574121403E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-424102461,-3361840382259] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
j-invariant |
L |
0.26614669799039 |
L(r)(E,1)/r! |
Ω |
0.033268395769739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014e4 9438u3 |
Quadratic twists by: -11 13 |