Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966x |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5690880 |
Modular degree for the optimal curve |
Δ |
5.0339536506994E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20275976,-34970279093] |
[a1,a2,a3,a4,a6] |
Generators |
[6169:270209:1] |
Generators of the group modulo torsion |
j |
4416594571143/24117248 |
j-invariant |
L |
8.80092854381 |
L(r)(E,1)/r! |
Ω |
0.071169989064008 |
Real period |
R |
6.1830335082684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966e1 69966d1 |
Quadratic twists by: -3 13 |