Atkin-Lehner |
3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675bj |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
235520 |
Modular degree for the optimal curve |
Δ |
-445639693359375 = -1 · 37 · 59 · 172 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19008,114291] |
[a1,a2,a3,a4,a6] |
j |
533411731/312987 |
j-invariant |
L |
2.5631819794722 |
L(r)(E,1)/r! |
Ω |
0.32039774513898 |
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 |
24225q1 72675bn1 |
Quadratic twists by: -3 5 |