Atkin-Lehner |
3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57399f |
Isogeny class |
Conductor |
57399 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
1090581 = 3 · 193 · 53 |
Discriminant |
Eigenvalues |
1 3- 3 1 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27,13] |
[a1,a2,a3,a4,a6] |
Generators |
[49:317:1] |
Generators of the group modulo torsion |
j |
300763/159 |
j-invariant |
L |
11.906385525927 |
L(r)(E,1)/r! |
Ω |
2.4179617126678 |
Real period |
R |
2.4620707316461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57399a1 |
Quadratic twists by: -19 |