Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480ct |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-83417600000000000 = -1 · 218 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-799080,275554672] |
[a1,a2,a3,a4,a6] |
Generators |
[474:-1750:1] |
Generators of the group modulo torsion |
j |
-40164371037846847/59375000000 |
j-invariant |
L |
6.2802836999028 |
L(r)(E,1)/r! |
Ω |
0.3411701769079 |
Real period |
R |
0.41836517408955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310g1 74480bb1 |
Quadratic twists by: -4 -7 |