Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344x |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-2437443720664952832 = -1 · 212 · 324 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6240,-75115024] |
[a1,a2,a3,a4,a6] |
Generators |
[41636302:67847913:97336] |
Generators of the group modulo torsion |
j |
-8998912000/816294970323 |
j-invariant |
L |
5.7429297699564 |
L(r)(E,1)/r! |
Ω |
0.11780967337698 |
Real period |
R |
12.186880765672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2709b1 14448k1 |
Quadratic twists by: -4 -3 |