Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510eg |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
7019263498995594000 = 24 · 318 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-517082,65196681] |
[a1,a2,a3,a4,a6] |
j |
178272935636041/81841914000 |
j-invariant |
L |
5.0744191380371 |
L(r)(E,1)/r! |
Ω |
0.21143413076062 |
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 |
16170e1 6930ba1 |
Quadratic twists by: -3 -7 |