Atkin-Lehner |
3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
57285f |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
349746406875 = 38 · 54 · 19 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1854,-11147] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:149:1] |
Generators of the group modulo torsion |
j |
967068262369/479761875 |
j-invariant |
L |
6.3992671257351 |
L(r)(E,1)/r! |
Ω |
0.76567260328592 |
Real period |
R |
1.0447133504186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095b2 |
Quadratic twists by: -3 |