Atkin-Lehner |
2- 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20988b |
Isogeny class |
Conductor |
20988 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-3243653424 = -1 · 24 · 38 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,4525] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:90:1] |
Generators of the group modulo torsion |
j |
-829898752/278091 |
j-invariant |
L |
6.2878116216812 |
L(r)(E,1)/r! |
Ω |
1.3362496794416 |
Real period |
R |
2.3527832105107 |
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 |
83952o1 6996a1 |
Quadratic twists by: -4 -3 |