Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55432a |
Isogeny class |
Conductor |
55432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1800960 |
Modular degree for the optimal curve |
Δ |
-6169849082626451456 = -1 · 211 · 1311 · 412 |
Discriminant |
Eigenvalues |
2+ 1 -3 -5 -6 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,110808,-118624336] |
[a1,a2,a3,a4,a6] |
Generators |
[619:13694:1] |
Generators of the group modulo torsion |
j |
15220996126/624143533 |
j-invariant |
L |
2.3055488930774 |
L(r)(E,1)/r! |
Ω |
0.11457748155798 |
Real period |
R |
5.0305454044344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110864b1 4264b1 |
Quadratic twists by: -4 13 |