Atkin-Lehner |
3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075x |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2240543056640625 = 38 · 510 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-350667,-79806384] |
[a1,a2,a3,a4,a6] |
j |
418660076257129/196700625 |
j-invariant |
L |
0.78478015047405 |
L(r)(E,1)/r! |
Ω |
0.19619503763215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14025s2 8415o2 |
Quadratic twists by: -3 5 |