Atkin-Lehner |
2- 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370bp |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
4000 |
Product of Tamagawa factors cp |
deg |
2560000 |
Modular degree for the optimal curve |
Δ |
6.51160249344E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11842820,15197648400] |
[a1,a2,a3,a4,a6] |
Generators |
[-3410:127930:1] |
Generators of the group modulo torsion |
j |
183691516586815867994210881/6511602493440000000000 |
j-invariant |
L |
10.029878094268 |
L(r)(E,1)/r! |
Ω |
0.13266933675266 |
Real period |
R |
1.8900143657475 |
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 |
88110m1 |
Quadratic twists by: -3 |