Atkin-Lehner |
2- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20618m |
Isogeny class |
Conductor |
20618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165312 |
Modular degree for the optimal curve |
Δ |
-78918684333866 = -1 · 2 · 139 · 612 |
Discriminant |
Eigenvalues |
2- 3 -3 3 -2 13+ -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10446,114859] |
[a1,a2,a3,a4,a6] |
Generators |
[5514:133349:216] |
Generators of the group modulo torsion |
j |
26118765063/16350074 |
j-invariant |
L |
11.760963485484 |
L(r)(E,1)/r! |
Ω |
0.37823660480633 |
Real period |
R |
3.8867746193902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1586b1 |
Quadratic twists by: 13 |