Atkin-Lehner |
3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19065l |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5284540489574025 = 34 · 52 · 314 · 414 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44455,881000] |
[a1,a2,a3,a4,a6] |
j |
9715970028832942321/5284540489574025 |
j-invariant |
L |
1.4986109667872 |
L(r)(E,1)/r! |
Ω |
0.37465274169681 |
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 |
57195e3 95325c3 |
Quadratic twists by: -3 5 |