Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768do |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-185926941837099008 = -1 · 221 · 79 · 133 |
Discriminant |
Eigenvalues |
2- -1 0 7- -3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-605313,-182248415] |
[a1,a2,a3,a4,a6] |
j |
-795309684625/6028568 |
j-invariant |
L |
1.0265004990997 |
L(r)(E,1)/r! |
Ω |
0.085541708261308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bh2 10192r2 5824p2 |
Quadratic twists by: -4 8 -7 |