Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160o |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
13252978135296000 = 211 · 38 · 53 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-440427,-112365254] |
[a1,a2,a3,a4,a6] |
j |
6328314248306258/8876791125 |
j-invariant |
L |
4.44814459624 |
L(r)(E,1)/r! |
Ω |
0.18533935817712 |
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 |
19080o3 12720j3 |
Quadratic twists by: -4 -3 |