Atkin-Lehner |
2- 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cu |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
221528693145600 = 220 · 34 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17000,-469452] |
[a1,a2,a3,a4,a6] |
j |
132658803153001/54084153600 |
j-invariant |
L |
3.4662278934385 |
L(r)(E,1)/r! |
Ω |
0.43327848309717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9690h2 |
Quadratic twists by: -4 |