Atkin-Lehner |
2- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8300f |
Isogeny class |
Conductor |
8300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1980 |
Modular degree for the optimal curve |
Δ |
-518750000 = -1 · 24 · 58 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- 3 1 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,662] |
[a1,a2,a3,a4,a6] |
Generators |
[26:148:1] |
Generators of the group modulo torsion |
j |
81920/83 |
j-invariant |
L |
3.8503870318234 |
L(r)(E,1)/r! |
Ω |
1.0880235411024 |
Real period |
R |
3.5388820980126 |
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 |
33200bm1 74700x1 8300b1 |
Quadratic twists by: -4 -3 5 |