Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bn |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
1500 |
Product of Tamagawa factors cp |
deg |
5760000 |
Modular degree for the optimal curve |
Δ |
4.735022134923E+22 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9605215,4655241817] |
[a1,a2,a3,a4,a6] |
Generators |
[17874:-2363387:1] |
Generators of the group modulo torsion |
j |
110426885440588081/53352140800000 |
j-invariant |
L |
13.947096012456 |
L(r)(E,1)/r! |
Ω |
0.10076215088516 |
Real period |
R |
0.092277347464854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170q1 |
Quadratic twists by: -31 |