Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420bi |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
708480 |
Modular degree for the optimal curve |
Δ |
-420103087392240 = -1 · 24 · 36 · 5 · 72 · 435 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46706,-4023951] |
[a1,a2,a3,a4,a6] |
j |
-14372587882084096/535845774735 |
j-invariant |
L |
2.9164109077699 |
L(r)(E,1)/r! |
Ω |
0.16202285001739 |
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 |
126420m1 |
Quadratic twists by: -7 |