Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186p |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-69738679772597528 = -1 · 23 · 72 · 1110 · 193 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,102182,-1828100] |
[a1,a2,a3,a4,a6] |
Generators |
[7614:661172:1] |
Generators of the group modulo torsion |
j |
4549040375/2688728 |
j-invariant |
L |
9.1677568800913 |
L(r)(E,1)/r! |
Ω |
0.2031316272109 |
Real period |
R |
7.5220166401209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186l1 |
Quadratic twists by: -11 |