Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18620i |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
380542749440 = 28 · 5 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8836,-315384] |
[a1,a2,a3,a4,a6] |
j |
2533446736/12635 |
j-invariant |
L |
2.9553787853221 |
L(r)(E,1)/r! |
Ω |
0.49256313088701 |
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 |
74480bj2 93100bd2 2660f2 |
Quadratic twists by: -4 5 -7 |