Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392b |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
523584 = 26 · 34 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 6 -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,43] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
4.3108157774615 |
L(r)(E,1)/r! |
Ω |
2.7240872239667 |
Real period |
R |
0.79124040881193 |
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 |
19392bh1 303b1 58176bb1 |
Quadratic twists by: -4 8 -3 |