Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560a |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
115926630400 = 218 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1228,-2448] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:105:1] |
Generators of the group modulo torsion |
j |
781229961/442225 |
j-invariant |
L |
4.9200309709148 |
L(r)(E,1)/r! |
Ω |
0.86982729860507 |
Real period |
R |
2.8281654178957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42560co2 665b2 |
Quadratic twists by: -4 8 |