Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55120k |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-28898754560 = -1 · 223 · 5 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -6 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,624,-5356] |
[a1,a2,a3,a4,a6] |
Generators |
[218:1445:8] |
Generators of the group modulo torsion |
j |
6549699311/7055360 |
j-invariant |
L |
6.6096743787649 |
L(r)(E,1)/r! |
Ω |
0.63816771127655 |
Real period |
R |
5.1786342852449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890m1 |
Quadratic twists by: -4 |