Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2145d |
Isogeny class |
Conductor |
2145 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-22976531982421875 = -1 · 34 · 516 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63327,-9555876] |
[a1,a2,a3,a4,a6] |
j |
-28086729490688202361/22976531982421875 |
j-invariant |
L |
2.3266399833236 |
L(r)(E,1)/r! |
Ω |
0.14541499895772 |
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 |
34320cf3 6435h4 10725i4 105105bw3 |
Quadratic twists by: -4 -3 5 -7 |