Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990y |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
1041661879054355520 = 26 · 315 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-814554,278872308] |
[a1,a2,a3,a4,a6] |
Generators |
[-507:23946:1] |
Generators of the group modulo torsion |
j |
81989101253781809569/1428891466466880 |
j-invariant |
L |
4.62100351303 |
L(r)(E,1)/r! |
Ω |
0.27710100202103 |
Real period |
R |
1.3896868769368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330ba1 |
Quadratic twists by: -3 |