Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560co |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7474216960000 = -1 · 218 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4852,19472] |
[a1,a2,a3,a4,a6] |
j |
48188806119/28511875 |
j-invariant |
L |
1.8092831084776 |
L(r)(E,1)/r! |
Ω |
0.45232077715372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560a3 10640z4 |
Quadratic twists by: -4 8 |