Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218k |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.2274496853592E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59245631,-167237714446] |
[a1,a2,a3,a4,a6] |
Generators |
[16962:1917145:1] |
Generators of the group modulo torsion |
j |
155355156733986861625/8291568305839392 |
j-invariant |
L |
4.1771356916224 |
L(r)(E,1)/r! |
Ω |
0.054597875087022 |
Real period |
R |
6.3756078494577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66654bl2 966f2 |
Quadratic twists by: -3 -23 |