Atkin-Lehner |
2- 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470bk |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1.3958076034086E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3393077,-2398111171] |
[a1,a2,a3,a4,a6] |
Generators |
[2217:30076:1] |
Generators of the group modulo torsion |
j |
5926212357637451345929/19146880705194000 |
j-invariant |
L |
11.22852063323 |
L(r)(E,1)/r! |
Ω |
0.11125908853484 |
Real period |
R |
4.2050949054676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490h1 |
Quadratic twists by: -3 |