Atkin-Lehner |
2- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5698d |
Isogeny class |
Conductor |
5698 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-37647119127772 = -1 · 22 · 73 · 114 · 374 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3866,-281295] |
[a1,a2,a3,a4,a6] |
j |
6391673361550287/37647119127772 |
j-invariant |
L |
3.8988847951856 |
L(r)(E,1)/r! |
Ω |
0.32490706626546 |
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 |
45584k3 51282t3 39886p3 62678c3 |
Quadratic twists by: -4 -3 -7 -11 |