Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bt |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1328983717494E+25 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639589964,-6223771098480] |
[a1,a2,a3,a4,a6] |
j |
22868021811807457713/8953460393696 |
j-invariant |
L |
0.12008651724492 |
L(r)(E,1)/r! |
Ω |
0.030021635611006 |
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 |
75712y4 18928j3 5824bd3 |
Quadratic twists by: -4 8 13 |