Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cb |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-855235362816000 = -1 · 232 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -2 -1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,1408257] |
[a1,a2,a3,a4,a6] |
Generators |
[749:20480:1] |
Generators of the group modulo torsion |
j |
-4165509529/3262464000 |
j-invariant |
L |
5.4831271019955 |
L(r)(E,1)/r! |
Ω |
0.40433831436037 |
Real period |
R |
1.1300617385692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bj1 14160w1 |
Quadratic twists by: -4 8 |