Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770u |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.0604193977524E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62611124,-193142887078] |
[a1,a2,a3,a4,a6] |
j |
-5623647484692626737921/84122230603125000 |
j-invariant |
L |
0.8579668616568 |
L(r)(E,1)/r! |
Ω |
0.02681146446233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290bc6 |
Quadratic twists by: 13 |