Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682h |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.0643283205516E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2357307,-6771463691] |
[a1,a2,a3,a4,a6] |
Generators |
[1559:25505:1] |
Generators of the group modulo torsion |
j |
1987213448872952062127/28317260912916156192 |
j-invariant |
L |
2.2692444071498 |
L(r)(E,1)/r! |
Ω |
0.059393736004465 |
Real period |
R |
1.5919498697775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456bj3 3894k4 128502bu3 |
Quadratic twists by: -4 -3 -11 |