Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19992ba |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
29503974807552 = 211 · 3 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107424,13513632] |
[a1,a2,a3,a4,a6] |
Generators |
[25495:45018:125] |
Generators of the group modulo torsion |
j |
569001644066/122451 |
j-invariant |
L |
4.8819021862376 |
L(r)(E,1)/r! |
Ω |
0.64431922501097 |
Real period |
R |
7.5768376865589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984i4 59976l4 2856f3 |
Quadratic twists by: -4 -3 -7 |