Atkin-Lehner |
17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
104329d |
Isogeny class |
Conductor |
104329 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
19304744379655913 = 177 · 196 |
Discriminant |
Eigenvalues |
1 0 2 -4 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71726,-3141281] |
[a1,a2,a3,a4,a6] |
j |
35937/17 |
j-invariant |
L |
1.2222158501258 |
L(r)(E,1)/r! |
Ω |
0.30555402261823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6137b1 289a1 |
Quadratic twists by: 17 -19 |