Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bs |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
142277186886303744 = 232 · 311 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-520716,-143483920] |
[a1,a2,a3,a4,a6] |
Generators |
[101735738:7676897337:17576] |
Generators of the group modulo torsion |
j |
81706955619457/744505344 |
j-invariant |
L |
5.0326029035074 |
L(r)(E,1)/r! |
Ω |
0.1778230849687 |
Real period |
R |
14.150589322936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ff1 3366k1 35904q1 |
Quadratic twists by: -4 8 -3 |