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 |
Δ |
64941782332081312 = 25 · 76 · 297 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4156380,3262542719] |
[a1,a2,a3,a4,a6] |
j |
13350003080765625/109178272 |
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 |
94192be2 105966l2 82418k2 406a2 |
Quadratic twists by: -4 -3 -7 29 |