Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925x |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-52646044921875 = -1 · 37 · 511 · 17 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-804450,277713531] |
[a1,a2,a3,a4,a6] |
Generators |
[515:-113:1] |
Generators of the group modulo torsion |
j |
-5054443262672896/4621875 |
j-invariant |
L |
3.8135231385676 |
L(r)(E,1)/r! |
Ω |
0.52804876009527 |
Real period |
R |
0.90273934789499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36975y1 22185g1 |
Quadratic twists by: -3 5 |