Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128bq |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
140842893312 = 218 · 36 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1827,-24030] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:18:1] [-17:46:1] |
Generators of the group modulo torsion |
j |
225866529/47168 |
j-invariant |
L |
7.2047274990209 |
L(r)(E,1)/r! |
Ω |
0.74099393563409 |
Real period |
R |
4.8615293270537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13266j1 11792c1 |
Quadratic twists by: -4 -3 |