Atkin-Lehner |
2- 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614k |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.2643405155269E+25 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-480585806,-4048859835349] |
[a1,a2,a3,a4,a6] |
Generators |
[13085682995:3501986575913:166375] |
Generators of the group modulo torsion |
j |
5205978441815193633059/9603014198192928 |
j-invariant |
L |
9.8281911241133 |
L(r)(E,1)/r! |
Ω |
0.032248160172759 |
Real period |
R |
15.238374949925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64614b2 |
Quadratic twists by: -11 |