Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616cf |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1.3565747997804E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -3 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4217088,-3337951156] |
[a1,a2,a3,a4,a6] |
Generators |
[45429098810:-2683306569402:9938375] |
Generators of the group modulo torsion |
j |
-1841198792704/3011499 |
j-invariant |
L |
6.2255259311142 |
L(r)(E,1)/r! |
Ω |
0.052671273228071 |
Real period |
R |
14.774481300644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10404k1 13872t1 2448r1 |
Quadratic twists by: -4 -3 17 |