Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536r |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
161097140289536 = 214 · 11 · 197 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21299,1028850] |
[a1,a2,a3,a4,a6] |
Generators |
[13605:144:125] |
Generators of the group modulo torsion |
j |
5545233/836 |
j-invariant |
L |
6.9090781349379 |
L(r)(E,1)/r! |
Ω |
0.5511484692869 |
Real period |
R |
6.2678919749124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7942h1 3344d1 |
Quadratic twists by: -4 -19 |