Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120ba |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-5247913164800 = -1 · 229 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -4 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5505,190175] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:-5120:27] |
Generators of the group modulo torsion |
j |
-70393838689/20019200 |
j-invariant |
L |
9.2032312926448 |
L(r)(E,1)/r! |
Ω |
0.72555335669418 |
Real period |
R |
1.5855538288162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120cp1 3910j1 |
Quadratic twists by: -4 8 |