Atkin-Lehner |
17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
1411b |
Isogeny class |
Conductor |
1411 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108 |
Modular degree for the optimal curve |
Δ |
117113 = 17 · 832 |
Discriminant |
Eigenvalues |
-1 -2 0 -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
2433138625/117113 |
j-invariant |
L |
1.1588152690293 |
L(r)(E,1)/r! |
Ω |
2.0812467751673 |
Real period |
R |
1.1135779599574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22576d1 90304e1 12699b1 35275e1 |
Quadratic twists by: -4 8 -3 5 |