Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984d |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-342310370648067072 = -1 · 210 · 39 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,146205,18148914] |
[a1,a2,a3,a4,a6] |
j |
364500/361 |
j-invariant |
L |
1.5991953507673 |
L(r)(E,1)/r! |
Ω |
0.19989941891285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25992r2 51984c2 2736b2 |
Quadratic twists by: -4 -3 -19 |