Atkin-Lehner |
3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675bm |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-7682202854296875 = -1 · 36 · 58 · 175 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 -2 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-685875,-218673594] |
[a1,a2,a3,a4,a6] |
j |
-125305769758720/26977283 |
j-invariant |
L |
1.2442107995454 |
L(r)(E,1)/r! |
Ω |
0.082947386427704 |
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 |
8075g2 72675v1 |
Quadratic twists by: -3 5 |