Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277p |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
130193519157 = 36 · 136 · 37 |
Discriminant |
Eigenvalues |
-2 3- -2 1 -5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1521,-14830] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:84:1] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
1.7285491452729 |
L(r)(E,1)/r! |
Ω |
0.78507291198988 |
Real period |
R |
1.1008844649642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6253c1 333d1 |
Quadratic twists by: -3 13 |