Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362bd |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5.4619313775315E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-314116324,2172086322440] |
[a1,a2,a3,a4,a6] |
j |
-3862113817658457666817/61542633506345208 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086f5 1302l6 |
Quadratic twists by: -3 -31 |