Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860w |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-16407257709150000 = -1 · 24 · 318 · 55 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41568,5228669] |
[a1,a2,a3,a4,a6] |
j |
681010157060096/1406657896875 |
j-invariant |
L |
2.7065586506915 |
L(r)(E,1)/r! |
Ω |
0.27065586506915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440du1 4620b1 69300bh1 97020bt1 |
Quadratic twists by: -4 -3 5 -7 |