Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cv |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
204761088000000000 = 220 · 33 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2944055,1944930447] |
[a1,a2,a3,a4,a6] |
Generators |
[963:990:1] |
Generators of the group modulo torsion |
j |
53514014005477719/3882876928 |
j-invariant |
L |
10.008607543958 |
L(r)(E,1)/r! |
Ω |
0.30154758092839 |
Real period |
R |
0.82977017368015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450n1 72450t1 |
Quadratic twists by: -3 5 |