Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150cl |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-32997088652343750 = -1 · 2 · 312 · 510 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67617,-11036709] |
[a1,a2,a3,a4,a6] |
Generators |
[2054710:91284651:1000] |
Generators of the group modulo torsion |
j |
-4802500825/4634982 |
j-invariant |
L |
6.2064822001319 |
L(r)(E,1)/r! |
Ω |
0.14243132858408 |
Real period |
R |
10.893815036389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050df1 84150he1 |
Quadratic twists by: -3 5 |