Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bl |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-208350917037675 = -1 · 311 · 52 · 196 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 -2 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5415,677326] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:445:1] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
4.0766611666138 |
L(r)(E,1)/r! |
Ω |
0.41539647979969 |
Real period |
R |
2.4534759955984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075i1 81225bs2 225d1 |
Quadratic twists by: -3 5 -19 |