Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ck |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-4109139095907656250 = -1 · 2 · 319 · 57 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,397683,-14036409] |
[a1,a2,a3,a4,a6] |
Generators |
[39:1218:1] |
Generators of the group modulo torsion |
j |
610641930681719/360747465210 |
j-invariant |
L |
6.0595286405504 |
L(r)(E,1)/r! |
Ω |
0.14466025869044 |
Real period |
R |
1.7453332549075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050de1 16830ci1 |
Quadratic twists by: -3 5 |