Atkin-Lehner |
3+ 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11895c |
Isogeny class |
Conductor |
11895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
2176785 = 32 · 5 · 13 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[10:23:1] |
Generators of the group modulo torsion |
j |
3803721481/2176785 |
j-invariant |
L |
5.5547017048401 |
L(r)(E,1)/r! |
Ω |
2.1670541910803 |
Real period |
R |
2.5632500228668 |
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 |
35685e1 59475j1 |
Quadratic twists by: -3 5 |