Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62868i |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-927522332732442096 = -1 · 24 · 318 · 136 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516182,-150246771] |
[a1,a2,a3,a4,a6] |
Generators |
[10729:1108809:1] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
5.9784642882959 |
L(r)(E,1)/r! |
Ω |
0.088743748637807 |
Real period |
R |
1.8713256426629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
372c1 |
Quadratic twists by: 13 |