Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392x |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
151924064256 = 214 · 32 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -2 -1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43141,-3434531] |
[a1,a2,a3,a4,a6] |
j |
541981500384256/9272709 |
j-invariant |
L |
0.66253161248623 |
L(r)(E,1)/r! |
Ω |
0.33126580624311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19392m1 4848d1 58176cf1 |
Quadratic twists by: -4 8 -3 |