Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bm |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
7.8771213181188E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1862892,881048016] |
[a1,a2,a3,a4,a6] |
j |
62768149033310713/6915442583808 |
j-invariant |
L |
0.74778512162358 |
L(r)(E,1)/r! |
Ω |
0.18694626810752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050do1 3366o1 |
Quadratic twists by: -3 5 |