Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bd |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-2577356718750000 = -1 · 24 · 36 · 510 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28008,-1653584] |
[a1,a2,a3,a4,a6] |
j |
341297975/362032 |
j-invariant |
L |
0.9884870044065 |
L(r)(E,1)/r! |
Ω |
0.24712177211327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bf1 84150gs1 |
Quadratic twists by: -3 5 |