Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
113288q |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
29335247872 = 210 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 6 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20904,1170268] |
[a1,a2,a3,a4,a6] |
Generators |
[82:28:1] |
Generators of the group modulo torsion |
j |
34438396 |
j-invariant |
L |
3.8339981705485 |
L(r)(E,1)/r! |
Ω |
1.0966738772396 |
Real period |
R |
0.87400600185585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999914984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288o1 113288e1 |
Quadratic twists by: -7 17 |