Atkin-Lehner |
2- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47120h |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
467430400000000 = 216 · 58 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -2 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19483,116682] |
[a1,a2,a3,a4,a6] |
Generators |
[-24199:366234:343] |
Generators of the group modulo torsion |
j |
199678477092849/114118750000 |
j-invariant |
L |
5.9866427172486 |
L(r)(E,1)/r! |
Ω |
0.45081401526696 |
Real period |
R |
6.6398143297474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890f2 |
Quadratic twists by: -4 |