Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664be |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18665472 = 212 · 3 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505,-4199] |
[a1,a2,a3,a4,a6] |
Generators |
[99:952:1] |
Generators of the group modulo torsion |
j |
3484156096/4557 |
j-invariant |
L |
3.070613034831 |
L(r)(E,1)/r! |
Ω |
1.0070225081296 |
Real period |
R |
3.0492000030166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664bl2 20832u1 124992dl2 |
Quadratic twists by: -4 8 -3 |