Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466j |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9461760 |
Modular degree for the optimal curve |
Δ |
-3.1572107156412E+23 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62628938,192691889396] |
[a1,a2,a3,a4,a6] |
Generators |
[3019:174912:1] |
Generators of the group modulo torsion |
j |
-183519341483677631433/2132733310124032 |
j-invariant |
L |
2.8980319582099 |
L(r)(E,1)/r! |
Ω |
0.097058519170603 |
Real period |
R |
3.7323255959376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542d1 |
Quadratic twists by: -23 |