Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470eg |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
-5.1413249000404E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-298148,-350551353] |
[a1,a2,a3,a4,a6] |
Generators |
[933:13053:1] |
Generators of the group modulo torsion |
j |
-832972004929/14611251200 |
j-invariant |
L |
8.5269845167173 |
L(r)(E,1)/r! |
Ω |
0.086001498532703 |
Real period |
R |
1.4580772823053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830g1 8190w1 |
Quadratic twists by: -3 13 |