Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808cj |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6849871121714544 = -1 · 24 · 39 · 711 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24843,4257659] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:2401:1] |
Generators of the group modulo torsion |
j |
-1235663104/4991679 |
j-invariant |
L |
5.4544475142146 |
L(r)(E,1)/r! |
Ω |
0.36692172599128 |
Real period |
R |
0.92908908219456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bo1 12936a1 5544w1 |
Quadratic twists by: -4 -3 -7 |