Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240da |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
19543680 |
Modular degree for the optimal curve |
Δ |
-1.8362438743849E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-520582445,-4571923136025] |
[a1,a2,a3,a4,a6] |
Generators |
[49435:9513450:1] |
Generators of the group modulo torsion |
j |
-60946995918410083409245904896/7172827634315896875 |
j-invariant |
L |
9.5381966337404 |
L(r)(E,1)/r! |
Ω |
0.01580327786191 |
Real period |
R |
2.2354004345136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18060f1 |
Quadratic twists by: -4 |