Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2142t |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
95470516512 = 25 · 36 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1157,3165] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:132:1] |
Generators of the group modulo torsion |
j |
234770924809/130960928 |
j-invariant |
L |
3.7661337866712 |
L(r)(E,1)/r! |
Ω |
0.92434726227264 |
Real period |
R |
0.20371855580616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17136bi2 68544cr2 238e2 53550w2 |
Quadratic twists by: -4 8 -3 5 |