Atkin-Lehner |
2+ 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126j |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1360200721260864 = 26 · 3 · 7 · 174 · 594 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28127,382130] |
[a1,a2,a3,a4,a6] |
j |
2460774149082839017/1360200721260864 |
j-invariant |
L |
1.6709216935274 |
L(r)(E,1)/r! |
Ω |
0.41773042337235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378bn3 |
Quadratic twists by: -3 |