Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050o |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3813415861500000000 = 28 · 33 · 59 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25069242,-48306187084] |
[a1,a2,a3,a4,a6] |
Generators |
[213460:98487934:1] |
Generators of the group modulo torsion |
j |
280844088456303/614656 |
j-invariant |
L |
3.485385640704 |
L(r)(E,1)/r! |
Ω |
0.067470559291343 |
Real period |
R |
6.4572342317 |
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 |
22050dl2 22050dk2 3150i2 |
Quadratic twists by: -3 5 -7 |