Atkin-Lehner |
2+ 11- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62744c |
Isogeny class |
Conductor |
62744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11452536832 = -1 · 211 · 11 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 2 0 2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,232,-5044] |
[a1,a2,a3,a4,a6] |
Generators |
[2040341190:5822801297:132651000] |
Generators of the group modulo torsion |
j |
671404750/5592059 |
j-invariant |
L |
10.000962644939 |
L(r)(E,1)/r! |
Ω |
0.63186261814854 |
Real period |
R |
15.827748560753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125488d2 |
Quadratic twists by: -4 |