Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124384r |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-366186496 = -1 · 212 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 2 1 -2 4 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1265,-16927] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:2852:27] |
Generators of the group modulo torsion |
j |
-323662144/529 |
j-invariant |
L |
11.462852354682 |
L(r)(E,1)/r! |
Ω |
0.40019879493041 |
Real period |
R |
3.5803619505257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384l1 124384f1 |
Quadratic twists by: -4 13 |