Atkin-Lehner |
3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225f |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
92880 |
Modular degree for the optimal curve |
Δ |
-1374479296875 = -1 · 33 · 58 · 194 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 -7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,56406] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.3585254789292 |
L(r)(E,1)/r! |
Ω |
0.67926275736683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81225f2 81225a1 81225h1 |
Quadratic twists by: -3 5 -19 |