Atkin-Lehner |
2- 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270r |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
634588777350 = 2 · 39 · 52 · 112 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34643,2490157] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:14959:8] |
Generators of the group modulo torsion |
j |
233596939389003/32240450 |
j-invariant |
L |
10.201215466281 |
L(r)(E,1)/r! |
Ω |
0.87975461071117 |
Real period |
R |
2.8988809323923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270h2 |
Quadratic twists by: -3 |