Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2145d |
Isogeny class |
Conductor |
2145 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
22393337786551875 = 3 · 54 · 114 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-81997,-5496794] |
[a1,a2,a3,a4,a6] |
j |
60971359344939402841/22393337786551875 |
j-invariant |
L |
2.3266399833236 |
L(r)(E,1)/r! |
Ω |
0.29082999791544 |
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 |
34320cf4 6435h3 10725i3 105105bw4 |
Quadratic twists by: -4 -3 5 -7 |