Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ei |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22159927001953125 = -1 · 37 · 512 · 73 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19917,7248366] |
[a1,a2,a3,a4,a6] |
j |
-223648543/5671875 |
j-invariant |
L |
2.5560842356723 |
L(r)(E,1)/r! |
Ω |
0.3195106034805 |
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 |
40425ci2 24255bw2 121275ef2 |
Quadratic twists by: -3 5 -7 |