Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362bd |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.0519979468103E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39155004,-42762936240] |
[a1,a2,a3,a4,a6] |
j |
7480237168421652097/3438856662962112 |
j-invariant |
L |
3.0267917096443 |
L(r)(E,1)/r! |
Ω |
0.063058160619557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086f3 1302l4 |
Quadratic twists by: -3 -31 |