Atkin-Lehner |
3+ 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
81075k |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
553824 |
Modular degree for the optimal curve |
Δ |
-2191051875 = -1 · 3 · 54 · 232 · 472 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2466083,-1489773232] |
[a1,a2,a3,a4,a6] |
j |
-2653792357463756800000/3505683 |
j-invariant |
L |
0.24095040141446 |
L(r)(E,1)/r! |
Ω |
0.060237594689501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81075n1 |
Quadratic twists by: 5 |