Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150cz |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-7189400278125000 = -1 · 23 · 314 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 13- 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17888,-4183608] |
[a1,a2,a3,a4,a6] |
Generators |
[202:574:1] |
Generators of the group modulo torsion |
j |
-1620505664545/18404864712 |
j-invariant |
L |
12.781294749632 |
L(r)(E,1)/r! |
Ω |
0.17832210536543 |
Real period |
R |
0.56885178087696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150f1 |
Quadratic twists by: 5 |