Atkin-Lehner |
2+ 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
106640a |
Isogeny class |
Conductor |
106640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-170624000 = -1 · 210 · 53 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -5 6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176,-1040] |
[a1,a2,a3,a4,a6] |
j |
-592143556/166625 |
j-invariant |
L |
1.2912860256753 |
L(r)(E,1)/r! |
Ω |
0.64564317797932 |
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 |
53320a1 |
Quadratic twists by: -4 |