Atkin-Lehner |
2+ 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85550g |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
98583007812500 = 22 · 512 · 29 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11626,66648] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:771:1] [-9:417:1] |
Generators of the group modulo torsion |
j |
11120925782161/6309312500 |
j-invariant |
L |
6.1096448840253 |
L(r)(E,1)/r! |
Ω |
0.51513077838682 |
Real period |
R |
2.9650940791958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17110g2 |
Quadratic twists by: 5 |