Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950bz |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1109003592375000 = -1 · 23 · 34 · 56 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9012,1571781] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1313:1] |
Generators of the group modulo torsion |
j |
5180411077127/70976229912 |
j-invariant |
L |
6.6374212967406 |
L(r)(E,1)/r! |
Ω |
0.36266221537166 |
Real period |
R |
0.7625807403567 |
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 |
59850bu3 798b4 |
Quadratic twists by: -3 5 |