Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080n |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-768993750000000000 = -1 · 210 · 34 · 514 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1457496,-679064796] |
[a1,a2,a3,a4,a6] |
j |
-334384523143023864676/750970458984375 |
j-invariant |
L |
1.0990798248769 |
L(r)(E,1)/r! |
Ω |
0.068692489060347 |
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 |
26040h1 |
Quadratic twists by: -4 |