Atkin-Lehner |
2+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
85312k |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
698875904 = 219 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 2 1 0 5 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,353] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] |
Generators of the group modulo torsion |
j |
4826809/2666 |
j-invariant |
L |
11.663514770887 |
L(r)(E,1)/r! |
Ω |
1.396660872308 |
Real period |
R |
2.0877499694309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312n1 2666a1 |
Quadratic twists by: -4 8 |