Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152r |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6128898628608 = 210 · 38 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13179,-570022] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1026:1] |
Generators of the group modulo torsion |
j |
339112345828/8210223 |
j-invariant |
L |
5.4879300724465 |
L(r)(E,1)/r! |
Ω |
0.44624125465092 |
Real period |
R |
1.5372654408487 |
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 |
9576z4 76608dz3 6384c4 |
Quadratic twists by: -4 8 -3 |