Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312q |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6139503764342784 = 211 · 39 · 11 · 614 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125211,-16631530] |
[a1,a2,a3,a4,a6] |
Generators |
[446:4030:1] |
Generators of the group modulo torsion |
j |
145409802205106/4112214777 |
j-invariant |
L |
3.2927388458524 |
L(r)(E,1)/r! |
Ω |
0.25423738192882 |
Real period |
R |
6.4757173411682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624j3 16104a4 |
Quadratic twists by: -4 -3 |