Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40401j |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1973306043 = 38 · 673 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3254,-70590] |
[a1,a2,a3,a4,a6] |
j |
17373979/9 |
j-invariant |
L |
1.2642969590016 |
L(r)(E,1)/r! |
Ω |
0.63214847952085 |
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 |
13467b2 40401h2 |
Quadratic twists by: -3 -67 |