Atkin-Lehner |
2- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5698d |
Isogeny class |
Conductor |
5698 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
311815027216 = 24 · 76 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2994,-56287] |
[a1,a2,a3,a4,a6] |
j |
2967174609669873/311815027216 |
j-invariant |
L |
3.8988847951856 |
L(r)(E,1)/r! |
Ω |
0.64981413253093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45584k2 51282t2 39886p2 62678c2 |
Quadratic twists by: -4 -3 -7 -11 |