Atkin-Lehner |
3- 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51675bc |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-3449701079296875 = -1 · 33 · 58 · 133 · 533 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30583,-3506381] |
[a1,a2,a3,a4,a6] |
j |
-8098752593920/8831234763 |
j-invariant |
L |
1.5577277999367 |
L(r)(E,1)/r! |
Ω |
0.17308086665634 |
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 |
51675b2 |
Quadratic twists by: 5 |