Atkin-Lehner |
2+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
11570c |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-565579202500 = -1 · 22 · 54 · 134 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7813,267588] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:595:1] [-21:660:1] |
Generators of the group modulo torsion |
j |
-52734796876125001/565579202500 |
j-invariant |
L |
3.656422333321 |
L(r)(E,1)/r! |
Ω |
0.92487374152302 |
Real period |
R |
0.2470892896757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92560p2 104130bo2 57850s2 |
Quadratic twists by: -4 -3 5 |