Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170by |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
82549891462500 = 22 · 36 · 55 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-244756,46584236] |
[a1,a2,a3,a4,a6] |
j |
13782741913468081/701662500 |
j-invariant |
L |
3.4420897327697 |
L(r)(E,1)/r! |
Ω |
0.57368162212829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360el1 48510by1 80850n1 2310p1 |
Quadratic twists by: -4 -3 5 -7 |