Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640de |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-4.8577479521285E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 3 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70625,-335433825] |
[a1,a2,a3,a4,a6] |
Generators |
[7735:679680:1] |
Generators of the group modulo torsion |
j |
-148615915769209/185308378300800 |
j-invariant |
L |
8.0100130240782 |
L(r)(E,1)/r! |
Ω |
0.090758561280699 |
Real period |
R |
0.55160175188193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640j1 14160m1 |
Quadratic twists by: -4 8 |