Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ej |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-40773042391158000 = -1 · 24 · 38 · 53 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,84883,-1964091] |
[a1,a2,a3,a4,a6] |
j |
788632918919/475398000 |
j-invariant |
L |
5.0607860225292 |
L(r)(E,1)/r! |
Ω |
0.21086608425947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170g1 6930z1 |
Quadratic twists by: -3 -7 |