Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344bp |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-282849918685544448 = -1 · 229 · 36 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 5 2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3249291,2254545466] |
[a1,a2,a3,a4,a6] |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
2.9371560027473 |
L(r)(E,1)/r! |
Ω |
0.29371560027123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418q1 4816e1 |
Quadratic twists by: -4 -3 |