Atkin-Lehner |
2- 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bu |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-340951664861316432 = -1 · 24 · 38 · 7 · 11 · 596 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56390,-28548187] |
[a1,a2,a3,a4,a6] |
j |
-27201649935993625/467697757011408 |
j-invariant |
L |
4.1782598294866 |
L(r)(E,1)/r! |
Ω |
0.13057061884542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258k2 |
Quadratic twists by: -3 |