Atkin-Lehner |
2- 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13764b |
Isogeny class |
Conductor |
13764 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
5775840 |
Modular degree for the optimal curve |
Δ |
-5.307973624561E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 1 6 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56231629,-1120303957768] |
[a1,a2,a3,a4,a6] |
j |
-1228982594155444973781778432/33174835153506405082326483 |
j-invariant |
L |
3.1621463416621 |
L(r)(E,1)/r! |
Ω |
0.022586759583301 |
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 |
55056j1 41292h1 |
Quadratic twists by: -4 -3 |