Atkin-Lehner |
2+ 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126j |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12484124352 = 26 · 34 · 74 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-342367,77076914] |
[a1,a2,a3,a4,a6] |
j |
4438105079440083578857/12484124352 |
j-invariant |
L |
1.6709216935274 |
L(r)(E,1)/r! |
Ω |
0.8354608467447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126378bn4 |
Quadratic twists by: -3 |