Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275k |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.1051738922013E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-503497692,-4348393428659] |
[a1,a2,a3,a4,a6] |
Generators |
[33053159260:-20570529680951:85184] |
Generators of the group modulo torsion |
j |
1239277630689568107139321/9702486845114175 |
j-invariant |
L |
5.3572769865481 |
L(r)(E,1)/r! |
Ω |
0.031871344716197 |
Real period |
R |
14.007559230408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425e2 11655j2 |
Quadratic twists by: -3 5 |