Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956j |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
56431178496 = 28 · 37 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2564,49512] |
[a1,a2,a3,a4,a6] |
Generators |
[34:22:1] |
Generators of the group modulo torsion |
j |
148665809488/4498659 |
j-invariant |
L |
7.9454813848307 |
L(r)(E,1)/r! |
Ω |
1.1106855695517 |
Real period |
R |
1.1922788364064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956x1 |
Quadratic twists by: -7 |