Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400br |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4958982259200000000 = -1 · 215 · 318 · 58 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21300,-107134000] |
[a1,a2,a3,a4,a6] |
j |
2863288/13286025 |
j-invariant |
L |
3.6005851782434 |
L(r)(E,1)/r! |
Ω |
0.11251828682011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400bu4 7200bo4 4800g4 2880o4 |
Quadratic twists by: -4 8 -3 5 |