Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856p |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20729820672 = 29 · 39 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4995,-135702] |
[a1,a2,a3,a4,a6] |
j |
1367631000/2057 |
j-invariant |
L |
2.2717728373749 |
L(r)(E,1)/r! |
Ω |
0.56794320932263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856c2 107712k2 53856d2 |
Quadratic twists by: -4 8 -3 |