Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038g |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
60722413668 = 22 · 37 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1332,-14148] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:62:1] |
Generators of the group modulo torsion |
j |
3048625/708 |
j-invariant |
L |
3.9038497327829 |
L(r)(E,1)/r! |
Ω |
0.80346881564729 |
Real period |
R |
1.2146861386426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346ba1 1062c1 |
Quadratic twists by: -3 -7 |