Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880ce |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.01690476E+24 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60679628,205908132752] |
[a1,a2,a3,a4,a6] |
Generators |
[16776929:-952179129:2197] |
Generators of the group modulo torsion |
j |
-94256762600623910012361/15323275604248046875 |
j-invariant |
L |
4.4415294229888 |
L(r)(E,1)/r! |
Ω |
0.075384609290084 |
Real period |
R |
9.8197087015649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880m3 16720bh4 |
Quadratic twists by: -4 8 |