Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834q |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
236322427034345472 = 213 · 310 · 232 · 314 |
Discriminant |
Eigenvalues |
2- 3- -4 4 2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31846352,-69165198925] |
[a1,a2,a3,a4,a6] |
j |
4899764922728817712550329/324173425287168 |
j-invariant |
L |
3.3047451837815 |
L(r)(E,1)/r! |
Ω |
0.063552791995797 |
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 |
102672ce2 4278k2 |
Quadratic twists by: -4 -3 |