Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392bg |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1906311168 = -1 · 221 · 32 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -2 6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,287,-865] |
[a1,a2,a3,a4,a6] |
Generators |
[17:96:1] |
Generators of the group modulo torsion |
j |
9938375/7272 |
j-invariant |
L |
7.0082224399217 |
L(r)(E,1)/r! |
Ω |
0.83040064054547 |
Real period |
R |
2.1098919297913 |
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 |
19392a1 4848j1 58176cd1 |
Quadratic twists by: -4 8 -3 |