Atkin-Lehner |
2- 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432i |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-4500914199068672 = -1 · 230 · 73 · 112 · 101 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18128,-3355712] |
[a1,a2,a3,a4,a6] |
Generators |
[1272:45056:1] |
Generators of the group modulo torsion |
j |
-160856049516625/1098856005632 |
j-invariant |
L |
3.9791349406051 |
L(r)(E,1)/r! |
Ω |
0.18279046403307 |
Real period |
R |
2.7211040395334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999498799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15554e1 |
Quadratic twists by: -4 |