Atkin-Lehner |
3+ 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19095d |
Isogeny class |
Conductor |
19095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-25181741295 = -1 · 310 · 5 · 19 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 -4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,168,7659] |
[a1,a2,a3,a4,a6] |
Generators |
[662:5849:8] |
Generators of the group modulo torsion |
j |
519524563319/25181741295 |
j-invariant |
L |
5.4027179294496 |
L(r)(E,1)/r! |
Ω |
0.90604579836675 |
Real period |
R |
5.9629633945531 |
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 |
57285c2 95475o2 |
Quadratic twists by: -3 5 |