Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bc |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
350262943770931200 = 212 · 312 · 52 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1781713,-915538177] |
[a1,a2,a3,a4,a6] |
Generators |
[-766:621:1] |
Generators of the group modulo torsion |
j |
6108537517191549760/3420536560263 |
j-invariant |
L |
8.6560422065946 |
L(r)(E,1)/r! |
Ω |
0.13067866634845 |
Real period |
R |
0.55199281619511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200b1 110400gm1 55200bw1 |
Quadratic twists by: -4 8 5 |