Atkin-Lehner |
2+ 3+ 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42126b |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7488000 |
Modular degree for the optimal curve |
Δ |
4.838349679414E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13862642,-16818608460] |
[a1,a2,a3,a4,a6] |
j |
294619701062615724886081321/48383496794140483756032 |
j-invariant |
L |
0.47467809293717 |
L(r)(E,1)/r! |
Ω |
0.079113015437486 |
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 |
126378bf1 |
Quadratic twists by: -3 |