Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19040i |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.31817212676E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20458028,35691141152] |
[a1,a2,a3,a4,a6] |
Generators |
[3004:36652:1] |
Generators of the group modulo torsion |
j |
-231182560848427917424704/565959991884765625 |
j-invariant |
L |
4.3409830650687 |
L(r)(E,1)/r! |
Ω |
0.14597222873476 |
Real period |
R |
2.4782014489416 |
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 |
19040c2 38080p1 95200g2 |
Quadratic twists by: -4 8 5 |