Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944b |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60022637270019072 = 210 · 39 · 116 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-980235,373359402] |
[a1,a2,a3,a4,a6] |
Generators |
[-162693:17571862:729] |
Generators of the group modulo torsion |
j |
5168006827843500/2977994041 |
j-invariant |
L |
7.1726281180969 |
L(r)(E,1)/r! |
Ω |
0.34693463356187 |
Real period |
R |
5.168573143313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472k2 64944g2 |
Quadratic twists by: -4 -3 |