Atkin-Lehner |
3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905bj |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12091392 |
Modular degree for the optimal curve |
Δ |
2.103297483103E+25 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81697824,179176765243] |
[a1,a2,a3,a4,a6] |
j |
82723262651056423666303489/28851817326516033320625 |
j-invariant |
L |
1.001080619002 |
L(r)(E,1)/r! |
Ω |
0.0625675390132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635b1 |
Quadratic twists by: -3 |