Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bq |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1426607437500 = -1 · 22 · 38 · 56 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1598,-62103] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1233:1] |
Generators of the group modulo torsion |
j |
-618688004761/1956937500 |
j-invariant |
L |
8.4653316010171 |
L(r)(E,1)/r! |
Ω |
0.34821272473452 |
Real period |
R |
3.0388506075805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910h1 |
Quadratic twists by: -3 |