Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57154f |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-114308 = -1 · 22 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ -1 0 1 3 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55,137] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-1:1] [22:21:8] |
Generators of the group modulo torsion |
j |
-11259625/68 |
j-invariant |
L |
6.4944612084767 |
L(r)(E,1)/r! |
Ω |
3.3451445338461 |
Real period |
R |
0.97072953691142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57154c1 |
Quadratic twists by: 41 |