Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
113288p |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
-5.7650580336935E+20 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,561720,1143598828] |
[a1,a2,a3,a4,a6] |
Generators |
[687338734165158:33571739526326449:446995222136] |
Generators of the group modulo torsion |
j |
34 |
j-invariant |
L |
5.6067294548532 |
L(r)(E,1)/r! |
Ω |
0.12307981833801 |
Real period |
R |
22.776802608919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288n1 113288d1 |
Quadratic twists by: -7 17 |