Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
53064q |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
13380625032192 = 210 · 37 · 113 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10371,366446] |
[a1,a2,a3,a4,a6] |
j |
165256339972/17924577 |
j-invariant |
L |
2.7424553918108 |
L(r)(E,1)/r! |
Ω |
0.6856138481466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128o1 17688b1 |
Quadratic twists by: -4 -3 |