Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64416b |
Isogeny class |
Conductor |
64416 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2761439712768 = 29 · 32 · 115 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1717816,867161668] |
[a1,a2,a3,a4,a6] |
Generators |
[832:3630:1] |
Generators of the group modulo torsion |
j |
1094923897084507022792/5393436939 |
j-invariant |
L |
5.9390527495591 |
L(r)(E,1)/r! |
Ω |
0.54646014565217 |
Real period |
R |
1.0868226706909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64416f2 128832p2 |
Quadratic twists by: -4 8 |