Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264bh |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-545025018691584 = -1 · 217 · 39 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 3 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3669,1119962] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:1026:1] |
Generators of the group modulo torsion |
j |
1829276567/182527776 |
j-invariant |
L |
7.9169269849573 |
L(r)(E,1)/r! |
Ω |
0.39824017773842 |
Real period |
R |
2.4849724541312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13158p1 35088m1 |
Quadratic twists by: -4 -3 |