Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5031c |
Isogeny class |
Conductor |
5031 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
15892929 = 37 · 132 · 43 |
Discriminant |
Eigenvalues |
1 3- -2 2 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,40] |
[a1,a2,a3,a4,a6] |
j |
38272753/21801 |
j-invariant |
L |
1.8929593495061 |
L(r)(E,1)/r! |
Ω |
1.8929593495061 |
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 |
80496bh1 1677a1 125775x1 65403h1 |
Quadratic twists by: -4 -3 5 13 |