Atkin-Lehner |
2+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240c |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1548400000000 = -1 · 210 · 58 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376,-60060] |
[a1,a2,a3,a4,a6] |
j |
-5756278756/1512109375 |
j-invariant |
L |
1.5140170306431 |
L(r)(E,1)/r! |
Ω |
0.37850425761091 |
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 |
22120e1 |
Quadratic twists by: -4 |