Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
81180l |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-998666212500000000 = -1 · 28 · 311 · 511 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 0 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21633,-48064826] |
[a1,a2,a3,a4,a6] |
Generators |
[383:4050:1] |
Generators of the group modulo torsion |
j |
5999381358896/5351220703125 |
j-invariant |
L |
7.6344803602646 |
L(r)(E,1)/r! |
Ω |
0.12949809150614 |
Real period |
R |
0.44662412962247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27060h1 |
Quadratic twists by: -3 |