Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220k |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
6227096400 = 24 · 33 · 52 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77161,8224160] |
[a1,a2,a3,a4,a6] |
j |
3175432607945703424/389193525 |
j-invariant |
L |
3.1214192287036 |
L(r)(E,1)/r! |
Ω |
1.0404730762345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
68880be1 51660s1 86100a1 120540t1 |
Quadratic twists by: -4 -3 5 -7 |