Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060b |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-13025422080 = -1 · 28 · 39 · 5 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1728,-28188] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3942:1] |
Generators of the group modulo torsion |
j |
-113246208/2585 |
j-invariant |
L |
6.7631326755018 |
L(r)(E,1)/r! |
Ω |
0.36974067931894 |
Real period |
R |
3.0485928176967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93060e1 |
Quadratic twists by: -3 |