Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400cz |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
-126701535232000000 = -1 · 237 · 56 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 1 3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88767,13801663] |
[a1,a2,a3,a4,a6] |
Generators |
[18:3925:1] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
3.9586507924507 |
L(r)(E,1)/r! |
Ω |
0.22527246755026 |
Real period |
R |
4.3931808880574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400j1 23600m1 3776y1 |
Quadratic twists by: -4 8 5 |