Atkin-Lehner |
3+ 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
105963k |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-5470127949 = -1 · 3 · 112 · 133 · 193 |
Discriminant |
Eigenvalues |
1 3+ -1 -1 11- 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,192,3489] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:43:1] [32:193:1] |
Generators of the group modulo torsion |
j |
353393243/2489817 |
j-invariant |
L |
11.191794342534 |
L(r)(E,1)/r! |
Ω |
0.98587380388926 |
Real period |
R |
0.94601309495753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105963e1 |
Quadratic twists by: 13 |