Atkin-Lehner |
2+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59534b |
Isogeny class |
Conductor |
59534 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
-195432820467056 = -1 · 24 · 179 · 103 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3992,664560] |
[a1,a2,a3,a4,a6] |
Generators |
[44744:640289:512] |
Generators of the group modulo torsion |
j |
59319/1648 |
j-invariant |
L |
3.9667716457429 |
L(r)(E,1)/r! |
Ω |
0.42547892773346 |
Real period |
R |
9.3230742747447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59534a1 |
Quadratic twists by: 17 |