Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150a |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-788906250 = -1 · 2 · 33 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,1366] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
-19683/1870 |
j-invariant |
L |
3.7472517741723 |
L(r)(E,1)/r! |
Ω |
1.3097591474619 |
Real period |
R |
0.71525588982069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150ek1 16830bp1 |
Quadratic twists by: -3 5 |