Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350bc |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2352637000 = -1 · 23 · 53 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 5 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2072,-35864] |
[a1,a2,a3,a4,a6] |
j |
-1147730823/2744 |
j-invariant |
L |
1.4150131629865 |
L(r)(E,1)/r! |
Ω |
0.35375296767292 |
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 |
126350dm1 126350dc1 |
Quadratic twists by: 5 -19 |