Atkin-Lehner |
2+ 3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670ba |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
181751766772500 = 22 · 37 · 54 · 294 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31014,-1991952] |
[a1,a2,a3,a4,a6] |
Generators |
[207:549:1] |
Generators of the group modulo torsion |
j |
4525612947512929/249316552500 |
j-invariant |
L |
5.1793434879793 |
L(r)(E,1)/r! |
Ω |
0.36099221113577 |
Real period |
R |
0.89672009631691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999276937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890bb3 |
Quadratic twists by: -3 |