Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bc |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-1.6239989422293E+25 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- -5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58612159,-88083513057] |
[a1,a2,a3,a4,a6] |
j |
84946783689490628882159/61950643243000528896 |
j-invariant |
L |
2.1102517473413 |
L(r)(E,1)/r! |
Ω |
0.039078735955002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248bo1 1914g1 |
Quadratic twists by: -4 8 |