Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bd |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1186981993562112 = -1 · 214 · 318 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3360,1659296] |
[a1,a2,a3,a4,a6] |
Generators |
[87871:1439451:343] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
6.8293527665793 |
L(r)(E,1)/r! |
Ω |
0.39617213205228 |
Real period |
R |
8.6191735978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712eu1 6732a1 35904l1 |
Quadratic twists by: -4 8 -3 |