Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350ci |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-5267500000 = -1 · 25 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62,3492] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:54:1] |
Generators of the group modulo torsion |
j |
34391/6880 |
j-invariant |
L |
7.3186274796716 |
L(r)(E,1)/r! |
Ω |
1.0501912808213 |
Real period |
R |
0.34844259442491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070m1 105350bw1 |
Quadratic twists by: 5 -7 |