Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67860d |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
1.2955991801626E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-778548,199803373] |
[a1,a2,a3,a4,a6] |
Generators |
[164123445075427968:-4804523542151182337:123446480601088] |
Generators of the group modulo torsion |
j |
4474375016012824576/1110767472704565 |
j-invariant |
L |
6.0905720493219 |
L(r)(E,1)/r! |
Ω |
0.21037574064805 |
Real period |
R |
28.950923858957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620i1 |
Quadratic twists by: -3 |