Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440be |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
670924800 |
Modular degree for the optimal curve |
Δ |
-3.5498924944527E+32 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244326189656,46492882491245040] |
[a1,a2,a3,a4,a6] |
j |
-393798294038321988262071424441397209/86667297227849283753077637120 |
j-invariant |
L |
1.0602975315956 |
L(r)(E,1)/r! |
Ω |
0.016567143626948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430n1 |
Quadratic twists by: -4 |