Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664d |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-17893795827810304 = -1 · 236 · 173 · 53 |
Discriminant |
Eigenvalues |
2+ 2 3 5 0 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110049,-15418783] |
[a1,a2,a3,a4,a6] |
Generators |
[3625851154993523450338331157289:89575390416090272843106816741408:4659302502149922970655433191] |
Generators of the group modulo torsion |
j |
-562271457628153/68259414016 |
j-invariant |
L |
12.668590049304 |
L(r)(E,1)/r! |
Ω |
0.13017502796768 |
Real period |
R |
48.65983225465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664y2 1802a2 |
Quadratic twists by: -4 8 |