Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600ba |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
3273600 |
Modular degree for the optimal curve |
Δ |
-4.5671096716404E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1758968,-3373754592] |
[a1,a2,a3,a4,a6] |
Generators |
[1972:28812:1] |
Generators of the group modulo torsion |
j |
-23510280441297426820/178402721548453857 |
j-invariant |
L |
7.3697418898369 |
L(r)(E,1)/r! |
Ω |
0.057915890974774 |
Real period |
R |
1.1568095114527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200f1 54600bw1 |
Quadratic twists by: -4 5 |