Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152i |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
113829988608 = 28 · 33 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6663,208710] |
[a1,a2,a3,a4,a6] |
j |
4732922819952/16468459 |
j-invariant |
L |
4.2281517249027 |
L(r)(E,1)/r! |
Ω |
1.0570379312257 |
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 |
9576b1 76608dt1 19152j1 |
Quadratic twists by: -4 8 -3 |