Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41334f |
Isogeny class |
Conductor |
41334 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
35280 |
Modular degree for the optimal curve |
Δ |
15808766976 = 210 · 33 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-932,8741] |
[a1,a2,a3,a4,a6] |
j |
156590819/27648 |
j-invariant |
L |
5.9101259957133 |
L(r)(E,1)/r! |
Ω |
1.1820251991349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124002e1 41334a1 |
Quadratic twists by: -3 -83 |