Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ez |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7213869689941406250 = -1 · 2 · 37 · 515 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,456520,50909397] |
[a1,a2,a3,a4,a6] |
Generators |
[-6604:108345:64] |
Generators of the group modulo torsion |
j |
923754305147471/633316406250 |
j-invariant |
L |
7.5430321669302 |
L(r)(E,1)/r! |
Ω |
0.14858850845898 |
Real period |
R |
6.3455716058996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050q2 16830bb2 |
Quadratic twists by: -3 5 |