Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454m |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-16383047177935872 = -1 · 210 · 310 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21177,6276717] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:1644:1] |
Generators of the group modulo torsion |
j |
-12246522625/191020032 |
j-invariant |
L |
4.8628711198637 |
L(r)(E,1)/r! |
Ω |
0.33056693119785 |
Real period |
R |
1.8388375624288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818bh1 5922j1 |
Quadratic twists by: -3 -7 |