Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cb |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-7304332956480000 = -1 · 29 · 310 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 3 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31617,-4638659] |
[a1,a2,a3,a4,a6] |
j |
-7671598590625/16031457792 |
j-invariant |
L |
1.6792660260563 |
L(r)(E,1)/r! |
Ω |
0.16792660032827 |
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 |
24150bz1 72450ds1 |
Quadratic twists by: -3 5 |