Atkin-Lehner |
3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685f |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2381686248779296875 = 39 · 516 · 13 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1100970,-438124379] |
[a1,a2,a3,a4,a6] |
j |
202452368150178076321/3267059326171875 |
j-invariant |
L |
2.36048102568 |
L(r)(E,1)/r! |
Ω |
0.14753006410375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895d4 |
Quadratic twists by: -3 |