Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bb |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1131520 |
Modular degree for the optimal curve |
Δ |
614224215813390336 = 226 · 311 · 7 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-289791,-46656243] |
[a1,a2,a3,a4,a6] |
Generators |
[-11916:63873:64] |
Generators of the group modulo torsion |
j |
3691915117068827377/842557223337984 |
j-invariant |
L |
5.3386403442123 |
L(r)(E,1)/r! |
Ω |
0.20914060278142 |
Real period |
R |
6.3816402354901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182w1 |
Quadratic twists by: -3 |