Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392c |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
10857037824 = 214 · 38 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 6 -5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1125,14013] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:81:1] |
Generators of the group modulo torsion |
j |
9619385344/662661 |
j-invariant |
L |
4.6051825166437 |
L(r)(E,1)/r! |
Ω |
1.2555740560239 |
Real period |
R |
1.8338952189037 |
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 |
19392bi1 2424e1 58176bc1 |
Quadratic twists by: -4 8 -3 |