Atkin-Lehner |
11- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83369f |
Isogeny class |
Conductor |
83369 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-840997209481 = -1 · 116 · 132 · 532 |
Discriminant |
Eigenvalues |
1 -2 -2 -2 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1092,-46345] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1984:1] |
Generators of the group modulo torsion |
j |
-81182737/474721 |
j-invariant |
L |
2.4282038505014 |
L(r)(E,1)/r! |
Ω |
0.37199640547526 |
Real period |
R |
3.2637463924039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
689a2 |
Quadratic twists by: -11 |