Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520bc |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1285089628160 = 212 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 2 5- -4 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2760,-10960] |
[a1,a2,a3,a4,a6] |
Generators |
[932:28392:1] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
6.407176876229 |
L(r)(E,1)/r! |
Ω |
0.70517051369249 |
Real period |
R |
2.2714991451781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
845a1 54080cl1 121680eb1 67600ce1 |
Quadratic twists by: -4 8 -3 5 |