Atkin-Lehner |
2- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53482j |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
-6923024982016 = -1 · 213 · 113 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -2 -3 -5 11+ 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5167,190521] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-243:1] [-34:-555:1] |
Generators of the group modulo torsion |
j |
-11462155461323/5201371136 |
j-invariant |
L |
7.2443313158672 |
L(r)(E,1)/r! |
Ω |
0.69863698582938 |
Real period |
R |
0.066469457239632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53482a1 |
Quadratic twists by: -11 |