Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282ba |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
-7.1002794150453E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -5 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2645572,3699696255] |
[a1,a2,a3,a4,a6] |
Generators |
[-835:30549:1] [269:-66699:1] |
Generators of the group modulo torsion |
j |
444369620591/1540767744 |
j-invariant |
L |
11.045611913674 |
L(r)(E,1)/r! |
Ω |
0.094039565207447 |
Real period |
R |
0.52436192535536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094d1 774d1 |
Quadratic twists by: -3 -43 |