Atkin-Lehner |
2+ 3- 7+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33306f |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
73711040 |
Modular degree for the optimal curve |
Δ |
-5.381776935266E+24 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21923802415,-1249460610458590] |
[a1,a2,a3,a4,a6] |
j |
-1165390169432896335324343032151639273/5381776935266040016920576 |
j-invariant |
L |
1.2903392975617 |
L(r)(E,1)/r! |
Ω |
0.0062035543152122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99918v1 |
Quadratic twists by: -3 |