Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956bf |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-6157637599344 = -1 · 24 · 3 · 79 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8346,314061] |
[a1,a2,a3,a4,a6] |
Generators |
[53:153:1] |
Generators of the group modulo torsion |
j |
-99588352/9537 |
j-invariant |
L |
8.0004666479263 |
L(r)(E,1)/r! |
Ω |
0.73696406691279 |
Real period |
R |
2.7139948231407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956t1 |
Quadratic twists by: -7 |