Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4606b |
Isogeny class |
Conductor |
4606 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-4.8895877897185E+21 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 1 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5733418,-6264651620] |
[a1,a2,a3,a4,a6] |
j |
-177164286626930705929/41560810459234304 |
j-invariant |
L |
1.7346131004829 |
L(r)(E,1)/r! |
Ω |
0.048183697235637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36848s1 41454bw1 115150cj1 658a1 |
Quadratic twists by: -4 -3 5 -7 |