Atkin-Lehner |
2- 3+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5658f |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
92211390792 = 23 · 312 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1400,-14479] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:77:1] |
Generators of the group modulo torsion |
j |
303477995721601/92211390792 |
j-invariant |
L |
3.5903146207938 |
L(r)(E,1)/r! |
Ω |
0.79890338333231 |
Real period |
R |
1.4980178645292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45264q2 16974e2 |
Quadratic twists by: -4 -3 |