Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200cv |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-50155200000000 = -1 · 212 · 36 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -1 -5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8333,-452037] |
[a1,a2,a3,a4,a6] |
Generators |
[133:900:1] |
Generators of the group modulo torsion |
j |
-40000000/31347 |
j-invariant |
L |
5.263597409509 |
L(r)(E,1)/r! |
Ω |
0.24169424458759 |
Real period |
R |
0.60494216409349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200cb1 103200d1 |
Quadratic twists by: -4 5 |