Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cw |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2935296 |
Modular degree for the optimal curve |
Δ |
684356574117888000 = 226 · 37 · 53 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-588040,168742388] |
[a1,a2,a3,a4,a6] |
Generators |
[236:6570:1] |
Generators of the group modulo torsion |
j |
5490161367129943561/167079241728000 |
j-invariant |
L |
9.5925845001791 |
L(r)(E,1)/r! |
Ω |
0.28526240553005 |
Real period |
R |
0.80064834109861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998811906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330e1 |
Quadratic twists by: -4 |