Atkin-Lehner |
3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195d |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
337014410484375 = 37 · 56 · 133 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-314798,-67897794] |
[a1,a2,a3,a4,a6] |
j |
4732501757718423961/462296859375 |
j-invariant |
L |
0.40311059480448 |
L(r)(E,1)/r! |
Ω |
0.20155529736057 |
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 |
13065g2 |
Quadratic twists by: -3 |