Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fs |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-280284364800000000 = -1 · 228 · 35 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1444833,-668462463] |
[a1,a2,a3,a4,a6] |
j |
-3257444411545/2737152 |
j-invariant |
L |
3.442415124336 |
L(r)(E,1)/r! |
Ω |
0.068848302494962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dt2 13200cq2 52800hd1 |
Quadratic twists by: -4 8 5 |