Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279y |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
22497295823369829 = 311 · 73 · 117 · 19 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-103495,10555837] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:3811:1] |
Generators of the group modulo torsion |
j |
69203793903616/12699136989 |
j-invariant |
L |
6.6528226357654 |
L(r)(E,1)/r! |
Ω |
0.36238096056783 |
Real period |
R |
0.13908062775748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389d1 |
Quadratic twists by: -11 |