Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352eo |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
340056494604288 = 215 · 36 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42348,-3234800] |
[a1,a2,a3,a4,a6] |
j |
351596839112/14235529 |
j-invariant |
L |
4.0036465892532 |
L(r)(E,1)/r! |
Ω |
0.33363721578943 |
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 |
44352ed2 22176z2 4928bj2 |
Quadratic twists by: -4 8 -3 |