Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ey |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
7.3670477184E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2646732,1020519056] |
[a1,a2,a3,a4,a6] |
Generators |
[37:30375:1] |
Generators of the group modulo torsion |
j |
21459330184836962/7710029296875 |
j-invariant |
L |
6.0640085664286 |
L(r)(E,1)/r! |
Ω |
0.14678558822085 |
Real period |
R |
1.0328003995283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720br2 13680i2 18240bx2 |
Quadratic twists by: -4 8 -3 |