Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832s |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-549096739615420416 = -1 · 212 · 37 · 711 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170877,44778699] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-5292:1] |
Generators of the group modulo torsion |
j |
-134715366791699968/134056821195171 |
j-invariant |
L |
4.4658011971159 |
L(r)(E,1)/r! |
Ω |
0.26587601019311 |
Real period |
R |
0.10906854308186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20832z1 41664v1 62496bu1 |
Quadratic twists by: -4 8 -3 |