Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57154b |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
590400 |
Modular degree for the optimal curve |
Δ |
-178095772310314784 = -1 · 25 · 17 · 419 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 5 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44511,19983540] |
[a1,a2,a3,a4,a6] |
Generators |
[-111042:2322710:729] |
Generators of the group modulo torsion |
j |
29791/544 |
j-invariant |
L |
4.9974401203283 |
L(r)(E,1)/r! |
Ω |
0.23908689066387 |
Real period |
R |
10.451096056362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57154g1 |
Quadratic twists by: 41 |