Atkin-Lehner |
2- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2222a |
Isogeny class |
Conductor |
2222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3650482139722 = -1 · 2 · 116 · 1013 |
Discriminant |
Eigenvalues |
2- -2 0 -1 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5623,186051] |
[a1,a2,a3,a4,a6] |
j |
-19662230809392625/3650482139722 |
j-invariant |
L |
1.5142994139059 |
L(r)(E,1)/r! |
Ω |
0.75714970695295 |
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 |
17776g2 71104i2 19998j2 55550c2 |
Quadratic twists by: -4 8 -3 5 |