Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5478f |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2290768128 = -1 · 28 · 34 · 113 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 11- 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48,2302] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-285:1] |
Generators of the group modulo torsion |
j |
-11867954041/2290768128 |
j-invariant |
L |
2.8078796321832 |
L(r)(E,1)/r! |
Ω |
1.1898660177133 |
Real period |
R |
0.098326183732133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43824q1 16434n1 60258bh1 |
Quadratic twists by: -4 -3 -11 |