Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120cz |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
250148861706240 = 216 · 32 · 5 · 7 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-431240,-109141260] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:25194:1] |
Generators of the group modulo torsion |
j |
2165318983225044361/61071499440 |
j-invariant |
L |
10.022827077325 |
L(r)(E,1)/r! |
Ω |
0.1863032565536 |
Real period |
R |
6.724806688546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999964757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390e3 |
Quadratic twists by: -4 |