Atkin-Lehner |
2+ 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18666d |
Isogeny class |
Conductor |
18666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-51406164 = -1 · 22 · 36 · 172 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 1 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60,404] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:22:1] [2:16:1] |
Generators of the group modulo torsion |
j |
-33076161/70516 |
j-invariant |
L |
5.1832522725563 |
L(r)(E,1)/r! |
Ω |
1.777206255048 |
Real period |
R |
0.36456462620999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2074b1 |
Quadratic twists by: -3 |