Atkin-Lehner |
2+ 3+ 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126a |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-23852306699424 = -1 · 25 · 32 · 75 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 0 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2688,239904] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-447:1] |
Generators of the group modulo torsion |
j |
-2149136156304649/23852306699424 |
j-invariant |
L |
2.7190450074191 |
L(r)(E,1)/r! |
Ω |
0.57370626488167 |
Real period |
R |
1.1848593844358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378bh1 |
Quadratic twists by: -3 |