Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778w |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-9.5971030987333E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2915962,-4305838740] |
[a1,a2,a3,a4,a6] |
Generators |
[4270:291130:1] |
Generators of the group modulo torsion |
j |
2742011570496162281609375/9597103098733329362568 |
j-invariant |
L |
7.5872707139375 |
L(r)(E,1)/r! |
Ω |
0.06587367412768 |
Real period |
R |
3.1994195347764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224bi4 26334w4 61446bm4 96558w4 |
Quadratic twists by: -4 -3 -7 -11 |