Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344bq |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
4195100722692096 = 215 · 311 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 7 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2110251,-1179906982] |
[a1,a2,a3,a4,a6] |
j |
348047549263412713/1404930744 |
j-invariant |
L |
5.0104429612864 |
L(r)(E,1)/r! |
Ω |
0.12526107403311 |
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 |
5418r1 14448u1 |
Quadratic twists by: -4 -3 |