Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680x |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
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 |
[26:1100:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
5.5952213043957 |
L(r)(E,1)/r! |
Ω |
0.38573011680396 |
Real period |
R |
1.2087944957379 |
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 |
31680co1 1980d1 10560i1 |
Quadratic twists by: -4 8 -3 |