Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410bm |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
-2813028750000000 = -1 · 27 · 38 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30703,1483521] |
[a1,a2,a3,a4,a6] |
Generators |
[611:-16056:1] |
Generators of the group modulo torsion |
j |
12801408679457/11250000000 |
j-invariant |
L |
5.4095010440928 |
L(r)(E,1)/r! |
Ω |
0.29487192909665 |
Real period |
R |
0.1310375432835 |
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 |
35280fv2 1470c2 22050bw2 4410bg2 |
Quadratic twists by: -4 -3 5 -7 |