Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950bz |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7800849000000 = 26 · 32 · 56 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9988,355781] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:813:1] |
Generators of the group modulo torsion |
j |
7052482298233/499254336 |
j-invariant |
L |
6.6374212967406 |
L(r)(E,1)/r! |
Ω |
0.72532443074332 |
Real period |
R |
0.38129037017835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59850bu2 798b2 |
Quadratic twists by: -3 5 |