Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920m |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-72293408000 = -1 · 28 · 53 · 11 · 593 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-396,13420] |
[a1,a2,a3,a4,a6] |
Generators |
[21:118:1] |
Generators of the group modulo torsion |
j |
-26894628304/282396125 |
j-invariant |
L |
2.7090012371245 |
L(r)(E,1)/r! |
Ω |
0.93127705972856 |
Real period |
R |
0.96963669719142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12980c2 |
Quadratic twists by: -4 |