Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360j |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113450436311040 = 211 · 33 · 5 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28298976,-57933997344] |
[a1,a2,a3,a4,a6] |
Generators |
[-546280293544520:-115869513019:177883610624] |
Generators of the group modulo torsion |
j |
50700519510140162/2295 |
j-invariant |
L |
4.5216720682765 |
L(r)(E,1)/r! |
Ω |
0.065457116986196 |
Real period |
R |
17.269596783186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680bs4 4080q3 |
Quadratic twists by: -4 17 |