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 |
-181082085331640625 = -1 · 316 · 58 · 112 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27995,-20555238] |
[a1,a2,a3,a4,a6] |
Generators |
[319:1573:1] |
Generators of the group modulo torsion |
j |
-2426420671386220081/181082085331640625 |
j-invariant |
L |
3.8819528192939 |
L(r)(E,1)/r! |
Ω |
0.14119963211447 |
Real period |
R |
1.7182909585003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44055a3 73425b3 |
Quadratic twists by: -3 5 |