Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lf |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1244912399539200 = -1 · 210 · 310 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144660,21245240] |
[a1,a2,a3,a4,a6] |
Generators |
[26945:35037:125] |
Generators of the group modulo torsion |
j |
-17939139239680/66706983 |
j-invariant |
L |
6.7034156333498 |
L(r)(E,1)/r! |
Ω |
0.48709953810902 |
Real period |
R |
6.8809505086501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800er1 25200dr1 33600ef1 100800ph1 |
Quadratic twists by: -4 8 -3 5 |