Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
59808g |
Isogeny class |
Conductor |
59808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13021876224 = -1 · 212 · 36 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,223,5265] |
[a1,a2,a3,a4,a6] |
j |
298077632/3179169 |
j-invariant |
L |
1.8562333253935 |
L(r)(E,1)/r! |
Ω |
0.9281166632392 |
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 |
59808b2 119616p1 |
Quadratic twists by: -4 8 |