Atkin-Lehner |
3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81075n |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2769120 |
Modular degree for the optimal curve |
Δ |
-34235185546875 = -1 · 3 · 510 · 232 · 472 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-61652083,-186344958131] |
[a1,a2,a3,a4,a6] |
j |
-2653792357463756800000/3505683 |
j-invariant |
L |
1.7241005304599 |
L(r)(E,1)/r! |
Ω |
0.026939071305361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81075k1 |
Quadratic twists by: 5 |