Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510br |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
336237500768400 = 24 · 310 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33084,2149888] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:2015:1] |
Generators of the group modulo torsion |
j |
46694890801/3920400 |
j-invariant |
L |
5.3317011508195 |
L(r)(E,1)/r! |
Ω |
0.52784048858626 |
Real period |
R |
1.2626212999214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170bj2 990e2 |
Quadratic twists by: -3 -7 |