Atkin-Lehner |
2+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57152d |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-1.7968925531961E+19 |
Discriminant |
Eigenvalues |
2+ -3 0 3 -2 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-461740,-237021392] |
[a1,a2,a3,a4,a6] |
j |
-41531372728322625/68546011092992 |
j-invariant |
L |
1.039760243372 |
L(r)(E,1)/r! |
Ω |
0.086646686774261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152p1 1786e1 |
Quadratic twists by: -4 8 |