Atkin-Lehner |
3- 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11895k |
Isogeny class |
Conductor |
11895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-9432735 = -1 · 3 · 5 · 132 · 612 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,32,-127] |
[a1,a2,a3,a4,a6] |
j |
3789119879/9432735 |
j-invariant |
L |
4.7564695233579 |
L(r)(E,1)/r! |
Ω |
1.1891173808395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35685d1 59475a1 |
Quadratic twists by: -3 5 |