Atkin-Lehner |
2- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16340d |
Isogeny class |
Conductor |
16340 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
275712 |
Modular degree for the optimal curve |
Δ |
-606367187500000000 = -1 · 28 · 516 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 4 5 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,203115,12668225] |
[a1,a2,a3,a4,a6] |
j |
3619991910921273344/2368621826171875 |
j-invariant |
L |
5.7968879328864 |
L(r)(E,1)/r! |
Ω |
0.1811527479027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65360i1 81700i1 |
Quadratic twists by: -4 5 |