Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245j |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
514001953125 = 36 · 59 · 192 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2622,-38480] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:112:1] [-22:92:1] |
Generators of the group modulo torsion |
j |
7575076864/1953125 |
j-invariant |
L |
5.6920810315238 |
L(r)(E,1)/r! |
Ω |
0.67989551134031 |
Real period |
R |
0.46511076878588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1805b2 81225y2 16245e2 |
Quadratic twists by: -3 5 -19 |