Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5852b |
Isogeny class |
Conductor |
5852 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
12616912 = 24 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2176,39069] |
[a1,a2,a3,a4,a6] |
j |
71216463347712/788557 |
j-invariant |
L |
1.0189942433286 |
L(r)(E,1)/r! |
Ω |
2.0379884866571 |
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 |
23408h1 93632a1 52668q1 40964g1 |
Quadratic twists by: -4 8 -3 -7 |