Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2288l |
Isogeny class |
Conductor |
2288 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2322369347584 = -1 · 227 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 2 3 1 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,936,72176] |
[a1,a2,a3,a4,a6] |
j |
22117051943/566984704 |
j-invariant |
L |
3.6879724121143 |
L(r)(E,1)/r! |
Ω |
0.61466206868572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
286a2 9152s2 20592bk2 57200bs2 |
Quadratic twists by: -4 8 -3 5 |