Atkin-Lehner |
2- 3- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11766f |
Isogeny class |
Conductor |
11766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2447702994186 = -1 · 2 · 32 · 376 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139232,-20008374] |
[a1,a2,a3,a4,a6] |
Generators |
[110634:1362967:216] |
Generators of the group modulo torsion |
j |
-298497770646281252353/2447702994186 |
j-invariant |
L |
7.0542845651858 |
L(r)(E,1)/r! |
Ω |
0.12357612239753 |
Real period |
R |
4.7570439636205 |
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 |
94128h2 35298e2 |
Quadratic twists by: -4 -3 |