Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152h |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
455319954432 = 210 · 33 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7251,235426] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:294:1] [-55:684:1] |
Generators of the group modulo torsion |
j |
1524943337004/16468459 |
j-invariant |
L |
6.3753332222325 |
L(r)(E,1)/r! |
Ω |
0.9416101744252 |
Real period |
R |
0.5642226294377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9576q1 76608cw1 19152g1 |
Quadratic twists by: -4 8 -3 |