Atkin-Lehner |
2+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105710d |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-65540200 = -1 · 23 · 52 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11- 4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,26,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[18:68:1] |
Generators of the group modulo torsion |
j |
68921/2200 |
j-invariant |
L |
2.325602731074 |
L(r)(E,1)/r! |
Ω |
0.94471096548169 |
Real period |
R |
0.61542705426355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999338085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105710b1 |
Quadratic twists by: -31 |