Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ga |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
1.1476171651876E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1741577,-718535671] |
[a1,a2,a3,a4,a6] |
Generators |
[-653:12156:1] |
Generators of the group modulo torsion |
j |
166021325905681/32614400000 |
j-invariant |
L |
12.247794281558 |
L(r)(E,1)/r! |
Ω |
0.13322124658072 |
Real period |
R |
0.32834193907563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830d1 8190j1 |
Quadratic twists by: -3 13 |