Atkin-Lehner |
7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55447a |
Isogeny class |
Conductor |
55447 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-5203772319124091321 = -1 · 76 · 897 |
Discriminant |
Eigenvalues |
1 1 1 7+ -4 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,217662,102575625] |
[a1,a2,a3,a4,a6] |
Generators |
[-1842:51681:8] |
Generators of the group modulo torsion |
j |
2294744759/10470761 |
j-invariant |
L |
7.0151947189768 |
L(r)(E,1)/r! |
Ω |
0.17347332932458 |
Real period |
R |
5.0549519241329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
623a1 |
Quadratic twists by: 89 |