Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5640c |
Isogeny class |
Conductor |
5640 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3339244569600 = 210 · 310 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19056,-1015056] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:60:1] |
Generators of the group modulo torsion |
j |
747380527031236/3260981025 |
j-invariant |
L |
4.0371425168825 |
L(r)(E,1)/r! |
Ω |
0.40644681994329 |
Real period |
R |
1.9865538706617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11280b2 45120t2 16920p2 28200u2 |
Quadratic twists by: -4 8 -3 5 |