Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920b |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-12768000 = -1 · 28 · 3 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,861] |
[a1,a2,a3,a4,a6] |
j |
-1814078464/49875 |
j-invariant |
L |
2.2395938038103 |
L(r)(E,1)/r! |
Ω |
2.2395938038115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960e1 127680fs1 95760bi1 |
Quadratic twists by: -4 8 -3 |