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 |
-173866500000000000 = -1 · 211 · 38 · 512 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,136293,-5234006] |
[a1,a2,a3,a4,a6] |
j |
187536965595982/116455078125 |
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 |
19080o4 12720j4 |
Quadratic twists by: -4 -3 |