Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cr |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5.5290647422322E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8306464,-34565552736] |
[a1,a2,a3,a4,a6] |
j |
263059523447441758/2294739983908125 |
j-invariant |
L |
2.1929536911374 |
L(r)(E,1)/r! |
Ω |
0.045686534945007 |
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 |
1560j6 |
Quadratic twists by: -7 |