Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36024h |
Isogeny class |
Conductor |
36024 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-234083952 = -1 · 24 · 33 · 193 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152,-1083] |
[a1,a2,a3,a4,a6] |
Generators |
[19:57:1] |
Generators of the group modulo torsion |
j |
-24433662208/14630247 |
j-invariant |
L |
7.1753440665862 |
L(r)(E,1)/r! |
Ω |
0.66135632758325 |
Real period |
R |
0.6027465214979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048a1 108072g1 |
Quadratic twists by: -4 -3 |