Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600v |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-4668177744000000 = -1 · 210 · 314 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -5 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40992,762012] |
[a1,a2,a3,a4,a6] |
Generators |
[8778:463644:343] |
Generators of the group modulo torsion |
j |
476091534236/291761109 |
j-invariant |
L |
4.7324535326539 |
L(r)(E,1)/r! |
Ω |
0.26774712139951 |
Real period |
R |
4.4187716266734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200y1 109800t1 1464b1 |
Quadratic twists by: -4 -3 5 |