Atkin-Lehner |
3+ 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81075h |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-72340435546875 = -1 · 36 · 59 · 23 · 472 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 -6 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26083,-1663557] |
[a1,a2,a3,a4,a6] |
Generators |
[217:1687:1] [433:8248:1] |
Generators of the group modulo torsion |
j |
-1004807684096/37038303 |
j-invariant |
L |
6.0799730891788 |
L(r)(E,1)/r! |
Ω |
0.1874303555754 |
Real period |
R |
4.0548215031868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81075u1 |
Quadratic twists by: 5 |