Atkin-Lehner |
2+ 5+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
19090d |
Isogeny class |
Conductor |
19090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-256221642752000000 = -1 · 233 · 56 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60184,-25013018] |
[a1,a2,a3,a4,a6] |
Generators |
[2475186:263665049:216] |
Generators of the group modulo torsion |
j |
-24107739243240859129/256221642752000000 |
j-invariant |
L |
2.7842693694015 |
L(r)(E,1)/r! |
Ω |
0.13216891006302 |
Real period |
R |
10.532996633149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95450j2 |
Quadratic twists by: 5 |