Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bd |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.0951002977829E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,688720,660569222] |
[a1,a2,a3,a4,a6] |
Generators |
[69396:3279295:64] |
Generators of the group modulo torsion |
j |
67419143/390963 |
j-invariant |
L |
3.9297107839486 |
L(r)(E,1)/r! |
Ω |
0.12857551660143 |
Real period |
R |
7.6408613540429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27075q3 3249e4 4275e4 |
Quadratic twists by: -3 5 -19 |