Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450ba |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-691068672000000 = -1 · 214 · 36 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7758,-1239084] |
[a1,a2,a3,a4,a6] |
j |
4533086375/60669952 |
j-invariant |
L |
0.99846965442556 |
L(r)(E,1)/r! |
Ω |
0.24961741125936 |
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 |
8050p1 2898t1 |
Quadratic twists by: -3 5 |