Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45288c |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2652786273892967424 = 210 · 314 · 172 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5655531,-5176168810] |
[a1,a2,a3,a4,a6] |
j |
26798864258584160932/3553651022769 |
j-invariant |
L |
1.7622080005031 |
L(r)(E,1)/r! |
Ω |
0.097900444471525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90576d2 15096f2 |
Quadratic twists by: -4 -3 |