Atkin-Lehner |
3- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065k |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-86862480046875 = -1 · 37 · 56 · 134 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 0 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24618,1552864] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1687:1] [-46:10409:8] |
Generators of the group modulo torsion |
j |
-2263364427022336/119152921875 |
j-invariant |
L |
7.8146573651875 |
L(r)(E,1)/r! |
Ω |
0.59809329393127 |
Real period |
R |
0.81662190544566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355e1 |
Quadratic twists by: -3 |