Atkin-Lehner |
2- 3- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
125460r |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
5331870757807200000 = 28 · 39 · 55 · 173 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-437007,-4666394] |
[a1,a2,a3,a4,a6] |
j |
49456274615252944/28570123659375 |
j-invariant |
L |
2.0285765257843 |
L(r)(E,1)/r! |
Ω |
0.20285757765137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41820h1 |
Quadratic twists by: -3 |