Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912bc |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-13034168942592 = -1 · 215 · 3 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,-173793] |
[a1,a2,a3,a4,a6] |
j |
-57512456/397771269 |
j-invariant |
L |
2.579047247666 |
L(r)(E,1)/r! |
Ω |
0.32238090595866 |
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 |
30912a3 15456p4 92736cd3 |
Quadratic twists by: -4 8 -3 |