Atkin-Lehner |
2+ 5- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630c |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
189522500 = 22 · 54 · 41 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-718,7308] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:105:1] [9:35:1] |
Generators of the group modulo torsion |
j |
40853310828121/189522500 |
j-invariant |
L |
4.1990894872655 |
L(r)(E,1)/r! |
Ω |
1.8029897792428 |
Real period |
R |
0.58223977967152 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88150m1 |
Quadratic twists by: 5 |