Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258w |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-7666696745599446 = -1 · 2 · 39 · 417 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -6 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23009,-4415961] |
[a1,a2,a3,a4,a6] |
Generators |
[42164:1022787:64] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
5.2693764817008 |
L(r)(E,1)/r! |
Ω |
0.17384916566867 |
Real period |
R |
3.7887559464501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086d1 738j1 |
Quadratic twists by: -3 41 |