Atkin-Lehner |
2- 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
125208k |
Isogeny class |
Conductor |
125208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-78784147037952 = -1 · 28 · 314 · 372 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6735,477106] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:810:1] [5:666:1] |
Generators of the group modulo torsion |
j |
-181037698000/422154423 |
j-invariant |
L |
11.7672949398 |
L(r)(E,1)/r! |
Ω |
0.54087076823378 |
Real period |
R |
2.719525539713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41736b2 |
Quadratic twists by: -3 |