Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470g |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
4417256250000 = 24 · 32 · 58 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15557,-746499] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:119:1] |
Generators of the group modulo torsion |
j |
416432758541509081/4417256250000 |
j-invariant |
L |
3.5356502275703 |
L(r)(E,1)/r! |
Ω |
0.4277526759148 |
Real period |
R |
0.34440172505534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410z1 97350cq1 |
Quadratic twists by: -3 5 |