Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248u |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
99966110941577216 = 222 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118672,4063680] |
[a1,a2,a3,a4,a6] |
Generators |
[-4677:118900:27] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
9.728093576229 |
L(r)(E,1)/r! |
Ω |
0.29363430943678 |
Real period |
R |
8.2824905534374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406i1 2576p1 |
Quadratic twists by: -4 -23 |