Atkin-Lehner |
2- 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370bp |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
2000 |
Product of Tamagawa factors cp |
Δ |
9.721824372593E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-187842820,990906448400] |
[a1,a2,a3,a4,a6] |
Generators |
[7922:-3034:1] |
Generators of the group modulo torsion |
j |
733005968209216932163418210881/972182437259299200000 |
j-invariant |
L |
10.029878094268 |
L(r)(E,1)/r! |
Ω |
0.13266933675266 |
Real period |
R |
3.7800287314949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
10 |
Number of elements in the torsion subgroup |
Twists |
88110m2 |
Quadratic twists by: -3 |