Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362s |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5.0942764090899E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62476259577,-6010644200861540] |
[a1,a2,a3,a4,a6] |
j |
1020031373094940556919127/19267584 |
j-invariant |
L |
1.8716596202292 |
L(r)(E,1)/r! |
Ω |
0.0095492837772746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086bj2 40362g2 |
Quadratic twists by: -3 -31 |