Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530i |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20243754908302500 = 22 · 38 · 54 · 192 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-632475,193640625] |
[a1,a2,a3,a4,a6] |
Generators |
[432:729:1] |
Generators of the group modulo torsion |
j |
38381916934612839601/27769211122500 |
j-invariant |
L |
5.0135602971831 |
L(r)(E,1)/r! |
Ω |
0.3809649503207 |
Real period |
R |
3.2900403917873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990859 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24510u4 |
Quadratic twists by: -3 |