Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320z |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
713146605516806400 = 28 · 38 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-743780,243778500] |
[a1,a2,a3,a4,a6] |
j |
3778298043856/59213025 |
j-invariant |
L |
1.144897348901 |
L(r)(E,1)/r! |
Ω |
0.28622433721475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86640bj2 129960bd2 2280e2 |
Quadratic twists by: -4 -3 -19 |