Atkin-Lehner |
37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
113627f |
Isogeny class |
Conductor |
113627 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
28962726911 = 373 · 833 |
Discriminant |
Eigenvalues |
-1 -2 -1 0 0 3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-861,-5318] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:46:1] |
Generators of the group modulo torsion |
j |
1393668613/571787 |
j-invariant |
L |
2.1196592889783 |
L(r)(E,1)/r! |
Ω |
0.91366340058195 |
Real period |
R |
0.38665940990479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999106204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113627e1 |
Quadratic twists by: 37 |