Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660f |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
2.1032913586382E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11621928,-15089366927] |
[a1,a2,a3,a4,a6] |
j |
14883694352287298093056/180323333216578125 |
j-invariant |
L |
1.9638549250037 |
L(r)(E,1)/r! |
Ω |
0.081827288556495 |
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 |
17220l1 |
Quadratic twists by: -3 |