Atkin-Lehner |
2+ 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110i |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4782609081582750 = -1 · 2 · 318 · 53 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12808,3372668] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:515:1] [-128:1772:1] |
Generators of the group modulo torsion |
j |
-232337293049593081/4782609081582750 |
j-invariant |
L |
6.4383834343452 |
L(r)(E,1)/r! |
Ω |
0.36438515875513 |
Real period |
R |
5.8897234420318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66330bp2 110550be2 |
Quadratic twists by: -3 5 |