Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350cl |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1106635906250 = -1 · 2 · 56 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -3 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1455,55297] |
[a1,a2,a3,a4,a6] |
Generators |
[-103122:1648495:5832] |
Generators of the group modulo torsion |
j |
-185193/602 |
j-invariant |
L |
19.601926387201 |
L(r)(E,1)/r! |
Ω |
0.76418146237819 |
Real period |
R |
6.4127198086948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214c1 15050w1 |
Quadratic twists by: 5 -7 |