Atkin-Lehner |
2- 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672w |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
13996032 = 212 · 3 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1144,15280] |
[a1,a2,a3,a4,a6] |
Generators |
[2:114:1] [12:56:1] |
Generators of the group modulo torsion |
j |
40459583737/3417 |
j-invariant |
L |
7.2765051851557 |
L(r)(E,1)/r! |
Ω |
2.1277692784842 |
Real period |
R |
3.4197811100742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3417g1 |
Quadratic twists by: -4 |