Atkin-Lehner |
2+ 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126k |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
4549608 = 23 · 34 · 7 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -6 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-739,-7786] |
[a1,a2,a3,a4,a6] |
j |
44546333623849/4549608 |
j-invariant |
L |
3.6632918499158 |
L(r)(E,1)/r! |
Ω |
0.91582296245513 |
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 |
126378bo1 |
Quadratic twists by: -3 |