Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
37920n |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
65515521600000 = 29 · 38 · 55 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208033360,-1154839188008] |
[a1,a2,a3,a4,a6] |
j |
1944700401357672913286651528/127960003125 |
j-invariant |
L |
3.1802136375891 |
L(r)(E,1)/r! |
Ω |
0.039752670469591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37920s4 75840cj4 113760n4 |
Quadratic twists by: -4 8 -3 |