Atkin-Lehner |
2- 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956w |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-3936583542597552 = -1 · 24 · 38 · 74 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1420673,651296064] |
[a1,a2,a3,a4,a6] |
Generators |
[-1083:30345:1] [940:-12138:1] |
Generators of the group modulo torsion |
j |
-8254566209333248000/102472499547 |
j-invariant |
L |
13.885446190569 |
L(r)(E,1)/r! |
Ω |
0.40065752113057 |
Real period |
R |
0.096268463290572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956f1 |
Quadratic twists by: -7 |