Atkin-Lehner |
3- 13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51129h |
Isogeny class |
Conductor |
51129 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
753664 |
Modular degree for the optimal curve |
Δ |
-3.9215129861202E+19 |
Discriminant |
Eigenvalues |
0 3- -1 1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,124242,300818290] |
[a1,a2,a3,a4,a6] |
j |
290938694311706624/53793045077094531 |
j-invariant |
L |
1.2629225262866 |
L(r)(E,1)/r! |
Ω |
0.1578653158662 |
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 |
17043b1 |
Quadratic twists by: -3 |