Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504ba |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
890400 |
Modular degree for the optimal curve |
Δ |
-260334783966116592 = -1 · 24 · 36 · 19 · 537 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 5 -6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156135,34154359] |
[a1,a2,a3,a4,a6] |
Generators |
[651:148877:27] |
Generators of the group modulo torsion |
j |
-36089179133728000/22319511656903 |
j-invariant |
L |
4.8737215245173 |
L(r)(E,1)/r! |
Ω |
0.28745133509623 |
Real period |
R |
1.2110674872124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8056a1 |
Quadratic twists by: -3 |