Atkin-Lehner |
2+ 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470q |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1243899360000 = 28 · 32 · 54 · 114 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-453120003,3712475083006] |
[a1,a2,a3,a4,a6] |
j |
10288768945476284932223510251561/1243899360000 |
j-invariant |
L |
3.6296737144293 |
L(r)(E,1)/r! |
Ω |
0.22685460715183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58410bb4 97350bw4 |
Quadratic twists by: -3 5 |