Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616x |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
324334776748032 = 211 · 38 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-999651,-384697726] |
[a1,a2,a3,a4,a6] |
j |
3065617154/9 |
j-invariant |
L |
1.2078903647994 |
L(r)(E,1)/r! |
Ω |
0.15098629560443 |
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 |
20808l5 13872b5 144b5 |
Quadratic twists by: -4 -3 17 |