Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
71200c |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-5696000000 = -1 · 212 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 -2 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,8000] |
[a1,a2,a3,a4,a6] |
Generators |
[327:973:27] |
Generators of the group modulo torsion |
j |
-592704/89 |
j-invariant |
L |
13.640977150493 |
L(r)(E,1)/r! |
Ω |
1.304816372982 |
Real period |
R |
5.2271635432237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71200e1 2848c1 |
Quadratic twists by: -4 5 |