Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bh |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2912454144 = -1 · 29 · 39 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 4 1 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,34] |
[a1,a2,a3,a4,a6] |
Generators |
[50:378:1] |
Generators of the group modulo torsion |
j |
46648/27 |
j-invariant |
L |
7.4529067109638 |
L(r)(E,1)/r! |
Ω |
0.85454419110607 |
Real period |
R |
2.1803748681729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83232bi1 27744j1 83232bs1 |
Quadratic twists by: -4 -3 17 |