Atkin-Lehner |
3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225a |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-64127706075 = -1 · 39 · 52 · 194 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-12184] |
[a1,a2,a3,a4,a6] |
Generators |
[24:40:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.2585730917209 |
L(r)(E,1)/r! |
Ω |
0.50629256668539 |
Real period |
R |
2.0602623548346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225a1 81225f2 81225c2 |
Quadratic twists by: -3 5 -19 |