Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64251g |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1777142149235182323 = 39 · 1110 · 592 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-503322,-121432195] |
[a1,a2,a3,a4,a6] |
Generators |
[276290324:3221569031:314432] |
Generators of the group modulo torsion |
j |
404403154875/50965321 |
j-invariant |
L |
6.6130710506802 |
L(r)(E,1)/r! |
Ω |
0.18072601758808 |
Real period |
R |
9.1479233853691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64251c2 5841d2 |
Quadratic twists by: -3 -11 |