Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14760s |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
32155781760000 = 210 · 36 · 54 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206163,-36028962] |
[a1,a2,a3,a4,a6] |
j |
1298160537477444/43075625 |
j-invariant |
L |
1.3443086354087 |
L(r)(E,1)/r! |
Ω |
0.22405143923478 |
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 |
29520n1 118080cs1 1640a1 73800y1 |
Quadratic twists by: -4 8 -3 5 |