Atkin-Lehner |
2- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102080bn |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-63800000 = -1 · 26 · 55 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- -4 11+ -5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,413] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:25:1] |
Generators of the group modulo torsion |
j |
-481890304/996875 |
j-invariant |
L |
5.6814110916923 |
L(r)(E,1)/r! |
Ω |
1.7471288752504 |
Real period |
R |
0.6503711499179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102080s1 25520m1 |
Quadratic twists by: -4 8 |