Atkin-Lehner |
3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30927c |
Isogeny class |
Conductor |
30927 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9.3670184215786E+18 |
Discriminant |
Eigenvalues |
0 3- -3 1 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2083657,-1167699230] |
[a1,a2,a3,a4,a6] |
Generators |
[37444:7240213:1] |
Generators of the group modulo torsion |
j |
-207272886199386112/1940623385259 |
j-invariant |
L |
5.0107646954668 |
L(r)(E,1)/r! |
Ω |
0.062794332551239 |
Real period |
R |
2.2165680014807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92781k3 2379a3 |
Quadratic twists by: -3 13 |