Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150de |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
318087168000 = 216 · 3 · 53 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3618,-79548] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-1090:1] |
Generators of the group modulo torsion |
j |
41901241310837/2544697344 |
j-invariant |
L |
10.414719427073 |
L(r)(E,1)/r! |
Ω |
0.61791523727649 |
Real period |
R |
1.0534130329291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150u1 |
Quadratic twists by: 5 |