Atkin-Lehner |
13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36517a |
Isogeny class |
Conductor |
36517 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10521887679520009 = -1 · 132 · 538 |
Discriminant |
Eigenvalues |
1 2 2 2 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25339,5163090] |
[a1,a2,a3,a4,a6] |
Generators |
[-11048593494:-392729288528:154854153] |
Generators of the group modulo torsion |
j |
-81182737/474721 |
j-invariant |
L |
11.900945486423 |
L(r)(E,1)/r! |
Ω |
0.35059376895673 |
Real period |
R |
16.972557044919 |
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 |
689a2 |
Quadratic twists by: 53 |