Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bi |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
509839941632000000 = 219 · 56 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 6 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10677185,-13425075775] |
[a1,a2,a3,a4,a6] |
j |
513516182162686336369/1944885031250 |
j-invariant |
L |
6.0133703867137 |
L(r)(E,1)/r! |
Ω |
0.083519033139276 |
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 |
51520ca4 1610e4 |
Quadratic twists by: -4 8 |