Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dz |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1972859022225000000 = 26 · 34 · 58 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-313626,1803148] |
[a1,a2,a3,a4,a6] |
Generators |
[-472:6924:1] |
Generators of the group modulo torsion |
j |
1855878893569/1073217600 |
j-invariant |
L |
5.733731502231 |
L(r)(E,1)/r! |
Ω |
0.22240225009482 |
Real period |
R |
1.611306627909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110cg2 13650l2 |
Quadratic twists by: 5 -7 |