Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4080a |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16646400 = 28 · 32 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116,480] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] |
Generators of the group modulo torsion |
j |
680136784/65025 |
j-invariant |
L |
2.967607332358 |
L(r)(E,1)/r! |
Ω |
2.1368013051167 |
Real period |
R |
1.3888082739616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2040m2 16320cs2 12240u2 20400bb2 |
Quadratic twists by: -4 8 -3 5 |