Atkin-Lehner |
2- 3+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270x |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-95396400000 = -1 · 27 · 33 · 55 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-14839] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-356:1] |
Generators of the group modulo torsion |
j |
-10460353203/3533200000 |
j-invariant |
L |
12.719334997708 |
L(r)(E,1)/r! |
Ω |
0.47844994997375 |
Real period |
R |
0.18988902148805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72270b1 |
Quadratic twists by: -3 |