Atkin-Lehner |
2- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450bc |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
-14273296730000000 = -1 · 27 · 57 · 74 · 112 · 173 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11+ -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197355,34281147] |
[a1,a2,a3,a4,a6] |
Generators |
[409:-4880:1] [-441:6170:1] |
Generators of the group modulo torsion |
j |
-54405903178523961/913490990720 |
j-invariant |
L |
9.7591533123055 |
L(r)(E,1)/r! |
Ω |
0.39641184636436 |
Real period |
R |
0.036635003986573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090f1 |
Quadratic twists by: 5 |