Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11872d |
Isogeny class |
Conductor |
11872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
8144192 = 26 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54,-52] |
[a1,a2,a3,a4,a6] |
j |
277167808/127253 |
j-invariant |
L |
1.8370658314933 |
L(r)(E,1)/r! |
Ω |
1.8370658314933 |
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 |
11872b1 23744i2 106848i1 83104l1 |
Quadratic twists by: -4 8 -3 -7 |