Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800la |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-13953515625000000 = -1 · 26 · 36 · 514 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32175,6102000] |
[a1,a2,a3,a4,a6] |
Generators |
[84:1998:1] |
Generators of the group modulo torsion |
j |
-5053029696/19140625 |
j-invariant |
L |
6.2468472986356 |
L(r)(E,1)/r! |
Ω |
0.34641423893378 |
Real period |
R |
4.5082206463763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800mx1 50400cv2 11200bt1 20160fa1 |
Quadratic twists by: -4 8 -3 5 |