Atkin-Lehner |
3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425a |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2526809930419921875 = -1 · 312 · 514 · 19 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-133438,78691406] |
[a1,a2,a3,a4,a6] |
Generators |
[250:-7938:1] |
Generators of the group modulo torsion |
j |
-16816765244088601/161715835546875 |
j-invariant |
L |
2.9492630835979 |
L(r)(E,1)/r! |
Ω |
0.21943045325758 |
Real period |
R |
1.6800671008846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11685d4 |
Quadratic twists by: 5 |