Atkin-Lehner |
3- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
14685g |
Isogeny class |
Conductor |
14685 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
475555062200625 = 38 · 54 · 114 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81840,-8957025] |
[a1,a2,a3,a4,a6] |
Generators |
[375:3435:1] |
Generators of the group modulo torsion |
j |
60620694270460220161/475555062200625 |
j-invariant |
L |
3.8819528192939 |
L(r)(E,1)/r! |
Ω |
0.28239926422895 |
Real period |
R |
3.4365819170006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
44055a2 73425b2 |
Quadratic twists by: -3 5 |