Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cz |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
195312102398437500 = 22 · 39 · 59 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38084555,90472612447] |
[a1,a2,a3,a4,a6] |
j |
158909194494247023/5080516 |
j-invariant |
L |
3.7399049003458 |
L(r)(E,1)/r! |
Ω |
0.23374405772891 |
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 |
72450s2 72450m2 |
Quadratic twists by: -3 5 |