Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472ba |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-34264788992 = -1 · 212 · 73 · 293 |
Discriminant |
Eigenvalues |
2- -1 4 7- 2 -6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,579,-7307] |
[a1,a2,a3,a4,a6] |
Generators |
[12:35:1] |
Generators of the group modulo torsion |
j |
15252992/24389 |
j-invariant |
L |
6.0405024339017 |
L(r)(E,1)/r! |
Ω |
0.61357821860296 |
Real period |
R |
2.4611786446906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472g1 90944bp1 45472z1 |
Quadratic twists by: -4 8 -7 |