Atkin-Lehner |
3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16695o |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-611504101318359375 = -1 · 39 · 512 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74867,-38421966] |
[a1,a2,a3,a4,a6] |
j |
-63659326265774569/838825927734375 |
j-invariant |
L |
1.4831765294426 |
L(r)(E,1)/r! |
Ω |
0.12359804412022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5565a4 83475ba3 116865v3 |
Quadratic twists by: -3 5 -7 |