Atkin-Lehner |
3- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11895f |
Isogeny class |
Conductor |
11895 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
130071825 = 38 · 52 · 13 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-386,2835] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:76:1] [-2:61:1] |
Generators of the group modulo torsion |
j |
6361447449889/130071825 |
j-invariant |
L |
4.3754634935796 |
L(r)(E,1)/r! |
Ω |
1.850618259408 |
Real period |
R |
0.59108131449253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35685i1 59475e1 |
Quadratic twists by: -3 5 |