Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bk |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
185040703125 = 38 · 57 · 192 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 3 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1425,-594] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:112:1] |
Generators of the group modulo torsion |
j |
77824/45 |
j-invariant |
L |
4.2554711558579 |
L(r)(E,1)/r! |
Ω |
0.85034855536712 |
Real period |
R |
0.62554806551079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075t1 16245m1 81225u1 |
Quadratic twists by: -3 5 -19 |