Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225w |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3675614557513921875 = -1 · 36 · 56 · 199 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-758100,-270287469] |
[a1,a2,a3,a4,a6] |
Generators |
[1190457407:72893784937:300763] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
4.1144883804056 |
L(r)(E,1)/r! |
Ω |
0.08054521521538 |
Real period |
R |
12.770741158874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9025c2 3249c2 4275k2 |
Quadratic twists by: -3 5 -19 |