Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774f |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-175702548117117952 = -1 · 210 · 73 · 298 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254140,53340543] |
[a1,a2,a3,a4,a6] |
j |
-3051779837625/295386112 |
j-invariant |
L |
3.1337375459365 |
L(r)(E,1)/r! |
Ω |
0.31337375459365 |
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 |
94192be1 105966l1 82418k1 406a1 |
Quadratic twists by: -4 -3 -7 29 |