Atkin-Lehner |
5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
33575b |
Isogeny class |
Conductor |
33575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
231552 |
Modular degree for the optimal curve |
Δ |
-3724351466796875 = -1 · 59 · 176 · 79 |
Discriminant |
Eigenvalues |
-2 1 5+ 1 -5 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-128908,-18097656] |
[a1,a2,a3,a4,a6] |
Generators |
[65028:1920951:64] |
Generators of the group modulo torsion |
j |
-15161656961880064/238358493875 |
j-invariant |
L |
2.8358339784511 |
L(r)(E,1)/r! |
Ω |
0.12586172255003 |
Real period |
R |
5.6328364195945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715c1 |
Quadratic twists by: 5 |