Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176x |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
86220288 = 29 · 37 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22179,1271338] |
[a1,a2,a3,a4,a6] |
Generators |
[738:815:8] |
Generators of the group modulo torsion |
j |
3232601019656/231 |
j-invariant |
L |
6.3156906470668 |
L(r)(E,1)/r! |
Ω |
1.4545953025995 |
Real period |
R |
4.3418885210065 |
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 |
22176b4 44352cb4 7392f2 |
Quadratic twists by: -4 8 -3 |