Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ev |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-1.3656816312274E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23539487,-47412320889] |
[a1,a2,a3,a4,a6] |
Generators |
[15059:1728246:1] |
Generators of the group modulo torsion |
j |
-16818951115904497561/1592332281446400 |
j-invariant |
L |
10.623177569722 |
L(r)(E,1)/r! |
Ω |
0.034087025588056 |
Real period |
R |
2.5970725875747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110c3 1170k3 |
Quadratic twists by: -3 -7 |