Atkin-Lehner |
3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225j |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
287280 |
Modular degree for the optimal curve |
Δ |
-496187026171875 = -1 · 33 · 58 · 196 |
Discriminant |
Eigenvalues |
0 3+ 5- 5 0 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-1071719] |
[a1,a2,a3,a4,a6] |
Generators |
[1225:42862:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.4342385531779 |
L(r)(E,1)/r! |
Ω |
0.24007756424503 |
Real period |
R |
4.4667776236406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225j2 81225e1 225b1 |
Quadratic twists by: -3 5 -19 |