Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956bb |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
8667648 |
Modular degree for the optimal curve |
Δ |
-2.8865699134854E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10174670,-28712887239] |
[a1,a2,a3,a4,a6] |
Generators |
[4930:202419:1] |
Generators of the group modulo torsion |
j |
-61883736664914436864/153346496436720279 |
j-invariant |
L |
9.0638843510401 |
L(r)(E,1)/r! |
Ω |
0.039382667292319 |
Real period |
R |
1.0094257523896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708a1 |
Quadratic twists by: -7 |