Atkin-Lehner |
2+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99238a |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
294000 |
Modular degree for the optimal curve |
Δ |
-35936845761536 = -1 · 210 · 296 · 59 |
Discriminant |
Eigenvalues |
2+ 1 1 3 -2 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21043,1208014] |
[a1,a2,a3,a4,a6] |
Generators |
[1893:6608:27] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
6.3289960636065 |
L(r)(E,1)/r! |
Ω |
0.64778919579841 |
Real period |
R |
4.8850737867056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118b1 |
Quadratic twists by: 29 |