Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200bf |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-3594255371093750000 = -1 · 24 · 516 · 112 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-792258,286604887] |
[a1,a2,a3,a4,a6] |
Generators |
[637:6325:1] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
4.5729537600351 |
L(r)(E,1)/r! |
Ω |
0.24566797514968 |
Real period |
R |
1.5511972206156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25300f1 20240s1 |
Quadratic twists by: -4 5 |