Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bh |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-3283200668152627200 = -1 · 220 · 36 · 52 · 112 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242352,-98472704] |
[a1,a2,a3,a4,a6] |
j |
-86376779442831145/180148184809472 |
j-invariant |
L |
1.6148834942797 |
L(r)(E,1)/r! |
Ω |
0.10093021902556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350be1 84150gv2 |
Quadratic twists by: -3 5 |