Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600bd |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-226050750000 = -1 · 24 · 35 · 56 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1517,3038] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:39:1] [23:-225:1] |
Generators of the group modulo torsion |
j |
1543313408/904203 |
j-invariant |
L |
9.3433859764407 |
L(r)(E,1)/r! |
Ω |
0.60238658862094 |
Real period |
R |
1.5510614201808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200o1 109800v1 1464a1 |
Quadratic twists by: -4 -3 5 |