Atkin-Lehner |
3- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11439c |
Isogeny class |
Conductor |
11439 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1571521759790499639 = 322 · 313 · 412 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 0 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1480406,-690298234] |
[a1,a2,a3,a4,a6] |
j |
492196383783805928473/2155722578587791 |
j-invariant |
L |
0.27380968729887 |
L(r)(E,1)/r! |
Ω |
0.13690484364944 |
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 |
3813c2 |
Quadratic twists by: -3 |