Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550la |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
107538539062500 = 22 · 32 · 59 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19013,875517] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:1237:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
11.553974765073 |
L(r)(E,1)/r! |
Ω |
0.57133514470683 |
Real period |
R |
2.5278452707812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550cx1 1950t1 |
Quadratic twists by: 5 -7 |