Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51336r |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
637190275404847104 = 211 · 37 · 236 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1070571,-424621690] |
[a1,a2,a3,a4,a6] |
j |
90889278553909586/426787467987 |
j-invariant |
L |
1.7815567291195 |
L(r)(E,1)/r! |
Ω |
0.1484630607758 |
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 |
102672h2 17112a2 |
Quadratic twists by: -4 -3 |