Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bk |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-248605028269424640 = -1 · 221 · 311 · 5 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43195748,109282981511] |
[a1,a2,a3,a4,a6] |
j |
-12226979132504178089447161/341021986652160 |
j-invariant |
L |
3.1889105660938 |
L(r)(E,1)/r! |
Ω |
0.22777932614956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7590n2 113850z2 |
Quadratic twists by: -3 5 |