Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bo |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
706698432 = 26 · 310 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2271,41636] |
[a1,a2,a3,a4,a6] |
Generators |
[44:164:1] |
Generators of the group modulo torsion |
j |
27763077952/15147 |
j-invariant |
L |
5.4996220466758 |
L(r)(E,1)/r! |
Ω |
1.5873594166936 |
Real period |
R |
3.4646356817732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999487248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ck1 53856bc4 35904n1 |
Quadratic twists by: -4 8 -3 |