Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840cj |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4192993382400000 = 215 · 38 · 55 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832133441,-9239545637505] |
[a1,a2,a3,a4,a6] |
j |
1944700401357672913286651528/127960003125 |
j-invariant |
L |
4.0477511163132 |
L(r)(E,1)/r! |
Ω |
0.028109382859322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840bo4 37920n4 |
Quadratic twists by: -4 8 |