Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680co |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-452702701440000 = -1 · 210 · 312 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7872,-987752] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4464:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
4.2065954487889 |
L(r)(E,1)/r! |
Ω |
0.26149402774983 |
Real period |
R |
4.0216936166637 |
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 |
31680x1 7920bl1 10560cn1 |
Quadratic twists by: -4 8 -3 |