Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dh |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
2.856474554676E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3068708,-2052291769] |
[a1,a2,a3,a4,a6] |
Generators |
[-939:1261:1] |
Generators of the group modulo torsion |
j |
37262716093162729/333053952000 |
j-invariant |
L |
8.9973458420375 |
L(r)(E,1)/r! |
Ω |
0.11412870953638 |
Real period |
R |
1.9708769770987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170z1 6930bg1 |
Quadratic twists by: -3 -7 |