Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
112019311523437500 = 22 · 3 · 514 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1035150,-405483000] |
[a1,a2,a3,a4,a6] |
Generators |
[-589:858:1] |
Generators of the group modulo torsion |
j |
66730743078481/60937500 |
j-invariant |
L |
4.1175449107485 |
L(r)(E,1)/r! |
Ω |
0.14968300303446 |
Real period |
R |
3.4385541628705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cn3 1950g4 |
Quadratic twists by: 5 -7 |