Atkin-Lehner |
3+ 5- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42315c |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45403654378171635 = 32 · 5 · 7 · 132 · 318 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-303160,-63550570] |
[a1,a2,a3,a4,a6] |
j |
3081339114056717754241/45403654378171635 |
j-invariant |
L |
1.6291427977456 |
L(r)(E,1)/r! |
Ω |
0.20364284971005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945l6 |
Quadratic twists by: -3 |