Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600do |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17750400000000 = 213 · 3 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11008,391988] |
[a1,a2,a3,a4,a6] |
j |
2305199161/277350 |
j-invariant |
L |
2.6700205766902 |
L(r)(E,1)/r! |
Ω |
0.66750514412267 |
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 |
6450z2 10320x2 |
Quadratic twists by: -4 5 |