Atkin-Lehner |
5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53845c |
Isogeny class |
Conductor |
53845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
476948510225 = 52 · 118 · 89 |
Discriminant |
Eigenvalues |
1 0 5+ -2 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5165,140256] |
[a1,a2,a3,a4,a6] |
Generators |
[46:2639:8] |
Generators of the group modulo torsion |
j |
8602523649/269225 |
j-invariant |
L |
3.6273439393169 |
L(r)(E,1)/r! |
Ω |
0.92928192710664 |
Real period |
R |
1.9516918566337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895d1 |
Quadratic twists by: -11 |