Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43320d |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
410400 |
Modular degree for the optimal curve |
Δ |
-206350290948150000 = -1 · 24 · 35 · 55 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317800,-72231875] |
[a1,a2,a3,a4,a6] |
j |
-13062850816/759375 |
j-invariant |
L |
1.0020030037493 |
L(r)(E,1)/r! |
Ω |
0.10020030037123 |
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 |
86640v1 129960bv1 43320bf1 |
Quadratic twists by: -4 -3 -19 |