Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288x |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4177920 |
Modular degree for the optimal curve |
Δ |
7.0004276123421E+20 |
Discriminant |
Eigenvalues |
2- 2 2 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3290072,-1910872228] |
[a1,a2,a3,a4,a6] |
Generators |
[-21488940500328700963443856885370978931:426802119978520375107282129955530670424:22565758073622743169420642136542033] |
Generators of the group modulo torsion |
j |
275684/49 |
j-invariant |
L |
12.655396626329 |
L(r)(E,1)/r! |
Ω |
0.11346493811307 |
Real period |
R |
55.767873480517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16184b1 113288z1 |
Quadratic twists by: -7 17 |