Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635d |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.3112905436307E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250537,-1408410846] |
[a1,a2,a3,a4,a6] |
Generators |
[868074864537926:17901467315146417:515463781832] |
Generators of the group modulo torsion |
j |
-122083727651299441/412703290692825 |
j-invariant |
L |
6.5646344165426 |
L(r)(E,1)/r! |
Ω |
0.065639994502131 |
Real period |
R |
25.002418367056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785a4 |
Quadratic twists by: -11 |