Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40293j |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
47784314853 = 36 · 116 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 1 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2040060,-1121534208] |
[a1,a2,a3,a4,a6] |
j |
727057727488000/37 |
j-invariant |
L |
1.1369237241022 |
L(r)(E,1)/r! |
Ω |
0.12632485823329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4477b3 333a3 |
Quadratic twists by: -3 -11 |