Atkin-Lehner |
2+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
68890a |
Isogeny class |
Conductor |
68890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-17222500 = -1 · 22 · 54 · 832 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5,201] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] [2:13:1] |
Generators of the group modulo torsion |
j |
-2241/2500 |
j-invariant |
L |
7.2021568738142 |
L(r)(E,1)/r! |
Ω |
1.7670401348375 |
Real period |
R |
1.018957737825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68890g1 |
Quadratic twists by: -83 |