Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150eh |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4.69998676422E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105230,-1043109603] |
[a1,a2,a3,a4,a6] |
Generators |
[1929:76035:1] |
Generators of the group modulo torsion |
j |
-305460292990923/1114070936704000 |
j-invariant |
L |
12.649552225804 |
L(r)(E,1)/r! |
Ω |
0.075463097789923 |
Real period |
R |
1.396880571902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150f3 16830o1 |
Quadratic twists by: -3 5 |