Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990cb |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-778180270392000 = -1 · 26 · 36 · 53 · 73 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58433,5614481] |
[a1,a2,a3,a4,a6] |
Generators |
[133:360:1] |
Generators of the group modulo torsion |
j |
-30266609098347721/1067462648000 |
j-invariant |
L |
8.9885177875299 |
L(r)(E,1)/r! |
Ω |
0.50127150285808 |
Real period |
R |
2.9885726385344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5110c2 |
Quadratic twists by: -3 |