Atkin-Lehner |
2+ 3+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45816a |
Isogeny class |
Conductor |
45816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-512131248 = -1 · 24 · 36 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179,1488] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-23:1] |
Generators of the group modulo torsion |
j |
-39864543232/32008203 |
j-invariant |
L |
2.3760474042944 |
L(r)(E,1)/r! |
Ω |
1.5146187051978 |
Real period |
R |
0.78437147123123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91632i1 |
Quadratic twists by: -4 |