Atkin-Lehner |
31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
45167b |
Isogeny class |
Conductor |
45167 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
2040057889 = 314 · 472 |
Discriminant |
Eigenvalues |
-1 -1 -3 -1 -5 -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1942,-33678] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-774:1] [-25:16:1] |
Generators of the group modulo torsion |
j |
877078753/2209 |
j-invariant |
L |
3.283860271205 |
L(r)(E,1)/r! |
Ω |
0.7192863470856 |
Real period |
R |
0.76090703989967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45167e1 |
Quadratic twists by: -31 |