Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cj |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
57465418752 = 210 · 32 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1093,8149] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:48:1] [-20:147:1] |
Generators of the group modulo torsion |
j |
141150208000/56118573 |
j-invariant |
L |
8.9042818099675 |
L(r)(E,1)/r! |
Ω |
1.0125115996585 |
Real period |
R |
1.4657086089976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232bb1 17808v1 |
Quadratic twists by: -4 8 |