Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152cb |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8850129619709952 = 212 · 38 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67107,4927970] |
[a1,a2,a3,a4,a6] |
Generators |
[71:722:1] |
Generators of the group modulo torsion |
j |
11192824869409/2963890503 |
j-invariant |
L |
3.6725728911247 |
L(r)(E,1)/r! |
Ω |
0.38483811220911 |
Real period |
R |
0.79526359582796 |
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 |
1197c2 76608fd2 6384z2 |
Quadratic twists by: -4 8 -3 |