Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22188a |
Isogeny class |
Conductor |
22188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
626270079990528 = 28 · 32 · 437 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-422188,105720136] |
[a1,a2,a3,a4,a6] |
Generators |
[46586:3533439:8] |
Generators of the group modulo torsion |
j |
5142706000/387 |
j-invariant |
L |
4.6797959720991 |
L(r)(E,1)/r! |
Ω |
0.48893547678631 |
Real period |
R |
4.785698925816 |
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 |
88752be2 66564d2 516c2 |
Quadratic twists by: -4 -3 -43 |