Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925b |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1430575256455078125 = 3 · 510 · 7 · 178 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1793500,-923440625] |
[a1,a2,a3,a4,a6] |
Generators |
[-441665202:312953683:551368] |
Generators of the group modulo torsion |
j |
40832710302042509761/91556816413125 |
j-invariant |
L |
3.8367857103777 |
L(r)(E,1)/r! |
Ω |
0.13047661724536 |
Real period |
R |
14.702962842617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26775bf6 1785o5 62475cg6 |
Quadratic twists by: -3 5 -7 |