Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
880c |
Isogeny class |
Conductor |
880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-30250000000000 = -1 · 210 · 512 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2627,-269646] |
[a1,a2,a3,a4,a6] |
Generators |
[83:290:1] |
Generators of the group modulo torsion |
j |
-1957960715364/29541015625 |
j-invariant |
L |
2.292780835453 |
L(r)(E,1)/r! |
Ω |
0.28328191468132 |
Real period |
R |
2.6978788227412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
440c4 3520p4 7920g4 4400c4 |
Quadratic twists by: -4 8 -3 5 |