Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bn |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-78277603820625000 = -1 · 23 · 36 · 57 · 112 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17208,13428616] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:2423:1] |
Generators of the group modulo torsion |
j |
49471280711/6872107880 |
j-invariant |
L |
5.0657756844262 |
L(r)(E,1)/r! |
Ω |
0.26424414679944 |
Real period |
R |
0.47927037801134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350ba1 16830cj1 |
Quadratic twists by: -3 5 |