Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404d |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
583389744360192 = 28 · 33 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32487,-1931090] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:426:1] |
Generators of the group modulo torsion |
j |
4662947952/717409 |
j-invariant |
L |
3.1363785102525 |
L(r)(E,1)/r! |
Ω |
0.35928667536275 |
Real period |
R |
4.3647297900569 |
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 |
77616ed2 19404h2 2772a2 |
Quadratic twists by: -4 -3 -7 |