Atkin-Lehner |
2+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53482d |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
5883687134468 = 22 · 116 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11336,-446836] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:38:1] [-65:143:1] |
Generators of the group modulo torsion |
j |
90942871473/3321188 |
j-invariant |
L |
7.3602209900592 |
L(r)(E,1)/r! |
Ω |
0.46372147464635 |
Real period |
R |
2.6453454614717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442a1 |
Quadratic twists by: -11 |