Atkin-Lehner |
2+ 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650b |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-5144200 = -1 · 23 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -5 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14,108] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
13428095/205768 |
j-invariant |
L |
2.1225569520092 |
L(r)(E,1)/r! |
Ω |
1.7993752416741 |
Real period |
R |
0.58980386703296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650bh1 |
Quadratic twists by: 5 |