Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600w |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-3.04126859675E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1469633,-735774637] |
[a1,a2,a3,a4,a6] |
Generators |
[4013:240850:1] |
Generators of the group modulo torsion |
j |
-87758805275616256/7603171491875 |
j-invariant |
L |
5.0409822977564 |
L(r)(E,1)/r! |
Ω |
0.068221969316748 |
Real period |
R |
6.1575744931547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200r1 12920c1 |
Quadratic twists by: -4 5 |