Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18012h |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-70124061332736 = -1 · 28 · 34 · 193 · 793 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21212,-1262604] |
[a1,a2,a3,a4,a6] |
Generators |
[451:9006:1] |
Generators of the group modulo torsion |
j |
-4123339325053648/273922114581 |
j-invariant |
L |
4.148611121866 |
L(r)(E,1)/r! |
Ω |
0.19704249309059 |
Real period |
R |
0.58484439585643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048i2 54036m2 |
Quadratic twists by: -4 -3 |