Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dd |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-6.3198246249683E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3340936,2380249844] |
[a1,a2,a3,a4,a6] |
Generators |
[487:29478:1] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
6.8896998401089 |
L(r)(E,1)/r! |
Ω |
0.19705037303088 |
Real period |
R |
2.9136796061838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670c1 4080w1 |
Quadratic twists by: -4 17 |