Atkin-Lehner |
3+ 7+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28497b |
Isogeny class |
Conductor |
28497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58240 |
Modular degree for the optimal curve |
Δ |
1769327463897 = 37 · 72 · 234 · 59 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3922,67975] |
[a1,a2,a3,a4,a6] |
j |
6674511548192041/1769327463897 |
j-invariant |
L |
0.78255345114469 |
L(r)(E,1)/r! |
Ω |
0.78255345114441 |
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 |
85491i1 |
Quadratic twists by: -3 |