Atkin-Lehner |
3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195m |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1155072 |
Modular degree for the optimal curve |
Δ |
-9.5595225817778E+18 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2767680,-1777777925] |
[a1,a2,a3,a4,a6] |
Generators |
[17401639262:534109539845:7189057] |
Generators of the group modulo torsion |
j |
-3216206300355197383681/13113199700655375 |
j-invariant |
L |
6.8097536115216 |
L(r)(E,1)/r! |
Ω |
0.058510608260246 |
Real period |
R |
14.548117456747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19065g1 |
Quadratic twists by: -3 |