Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bb |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
8 |
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 |
[5459:403368:1] |
Generators of the group modulo torsion |
j |
141150208000/56118573 |
j-invariant |
L |
7.6415793390032 |
L(r)(E,1)/r! |
Ω |
0.85918850805354 |
Real period |
R |
4.4469748297307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232cj1 4452a1 |
Quadratic twists by: -4 8 |