Atkin-Lehner |
17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
106097b |
Isogeny class |
Conductor |
106097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
1603929682432985839 = 174 · 797 |
Discriminant |
Eigenvalues |
-1 -1 1 -1 -2 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-312180,-28316042] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:6402:1] [-304:6365:1] |
Generators of the group modulo torsion |
j |
13841287201/6598159 |
j-invariant |
L |
5.8143293355273 |
L(r)(E,1)/r! |
Ω |
0.2116967172757 |
Real period |
R |
3.4331716438218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1343a1 |
Quadratic twists by: -79 |