Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280u |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10905845760000 = 220 · 32 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5665,-39263] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:315:1] |
Generators of the group modulo torsion |
j |
76711450249/41602500 |
j-invariant |
L |
6.5073647335041 |
L(r)(E,1)/r! |
Ω |
0.58672788397663 |
Real period |
R |
2.772735415864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41280dk2 1290d2 123840cd2 |
Quadratic twists by: -4 8 -3 |