Atkin-Lehner |
2+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46256a |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-18943505033264 = -1 · 24 · 78 · 593 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ -2 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4802,-165669] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6468:1] |
Generators of the group modulo torsion |
j |
132765696/205379 |
j-invariant |
L |
3.6502421986227 |
L(r)(E,1)/r! |
Ω |
0.3631762563789 |
Real period |
R |
3.3502944594054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23128p1 46256o1 |
Quadratic twists by: -4 -7 |