Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312c |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-3.8756692663486E+19 |
Discriminant |
Eigenvalues |
2+ -1 4 7+ 3 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-853841,426823153] |
[a1,a2,a3,a4,a6] |
Generators |
[-20571:680120:27] |
Generators of the group modulo torsion |
j |
-728871512656/410338673 |
j-invariant |
L |
7.1098758847701 |
L(r)(E,1)/r! |
Ω |
0.19004094927494 |
Real period |
R |
6.2353893655292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bh1 3332a1 53312t1 |
Quadratic twists by: -4 8 -7 |