Atkin-Lehner |
2- 3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42126t |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
26625443418 = 2 · 38 · 7 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 6 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4421,112503] |
[a1,a2,a3,a4,a6] |
j |
9556335678245329/26625443418 |
j-invariant |
L |
9.5352168573294 |
L(r)(E,1)/r! |
Ω |
1.1919021071682 |
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 |
126378m1 |
Quadratic twists by: -3 |