Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074bi |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
28401389862912 = 216 · 36 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29790,1959876] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-7492:1] [-150:1824:1] |
Generators of the group modulo torsion |
j |
595099203230897/5780865024 |
j-invariant |
L |
9.2287173371071 |
L(r)(E,1)/r! |
Ω |
0.66751555748401 |
Real period |
R |
0.14401532845745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222m1 19074q1 |
Quadratic twists by: -3 17 |