Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474bv |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
5209344 |
Modular degree for the optimal curve |
Δ |
-2.7425399769848E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 5 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-281648,798917779] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:29105:1] |
Generators of the group modulo torsion |
j |
-199565721/22151168 |
j-invariant |
L |
14.179683200953 |
L(r)(E,1)/r! |
Ω |
0.142786196109 |
Real period |
R |
0.97359902911774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386c1 84474bd1 |
Quadratic twists by: -3 -19 |