Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512n |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
249597910646784 = 216 · 33 · 7 · 674 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-259544,50974704] |
[a1,a2,a3,a4,a6] |
Generators |
[3322:189310:1] |
Generators of the group modulo torsion |
j |
472061321777762137/60936989904 |
j-invariant |
L |
3.9461231304974 |
L(r)(E,1)/r! |
Ω |
0.53400682615236 |
Real period |
R |
7.3896492277638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2814a3 90048bo4 67536bu4 |
Quadratic twists by: -4 8 -3 |