Atkin-Lehner |
2+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872l |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2650032896 = -1 · 28 · 72 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,268,-1904] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-476:1] [21:112:1] |
Generators of the group modulo torsion |
j |
8284506032/10351691 |
j-invariant |
L |
7.2399371541511 |
L(r)(E,1)/r! |
Ω |
0.77075085423331 |
Real period |
R |
0.78277966592264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40936c1 |
Quadratic twists by: -4 |