Atkin-Lehner |
2- 3- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
125460t |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2266590470400 = -1 · 28 · 36 · 52 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10407,415006] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:850:1] [35:306:1] |
Generators of the group modulo torsion |
j |
-667932971344/12145225 |
j-invariant |
L |
11.677034189964 |
L(r)(E,1)/r! |
Ω |
0.82125058098523 |
Real period |
R |
1.1848834021797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13940d2 |
Quadratic twists by: -3 |