Atkin-Lehner |
2+ 3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470d |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25272060 = 22 · 3 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-333,2193] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:73:1] [-4:61:1] |
Generators of the group modulo torsion |
j |
4102915888729/25272060 |
j-invariant |
L |
4.0432080005924 |
L(r)(E,1)/r! |
Ω |
2.1331656847869 |
Real period |
R |
0.94770135049237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410bq2 97350cp2 |
Quadratic twists by: -3 5 |