Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050bs |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-705487405056000000 = -1 · 221 · 3 · 56 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,218837,-8879719] |
[a1,a2,a3,a4,a6] |
Generators |
[1939:86838:1] |
Generators of the group modulo torsion |
j |
74176411544797463/45151193923584 |
j-invariant |
L |
8.3822077266345 |
L(r)(E,1)/r! |
Ω |
0.16578797996064 |
Real period |
R |
1.2038048505679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562g2 |
Quadratic twists by: 5 |