Atkin-Lehner |
2+ 3+ 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430a |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-45726300 = -1 · 22 · 32 · 52 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,77,-167] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
49471280711/45726300 |
j-invariant |
L |
3.1344809706726 |
L(r)(E,1)/r! |
Ω |
1.1058124288265 |
Real period |
R |
0.70863757924999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290bq1 |
Quadratic twists by: -3 |