Atkin-Lehner |
3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675w |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-20695341796875 = -1 · 38 · 510 · 17 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1875,-221094] |
[a1,a2,a3,a4,a6] |
j |
-102400/2907 |
j-invariant |
L |
1.1850782610202 |
L(r)(E,1)/r! |
Ω |
0.29626957401462 |
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 |
24225n1 72675bl1 |
Quadratic twists by: -3 5 |