Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cj |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
12632260608 = 216 · 33 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256993,50231041] |
[a1,a2,a3,a4,a6] |
Generators |
[2506:4851:8] |
Generators of the group modulo torsion |
j |
28642396591574500/192753 |
j-invariant |
L |
7.3494571196164 |
L(r)(E,1)/r! |
Ω |
0.86813278339433 |
Real period |
R |
4.2329106723625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608be1 31152h1 |
Quadratic twists by: -4 8 |