Atkin-Lehner |
2- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109888x |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
28131328 = 214 · 17 · 101 |
Discriminant |
Eigenvalues |
2- -3 0 3 -1 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160,736] |
[a1,a2,a3,a4,a6] |
Generators |
[9:5:1] |
Generators of the group modulo torsion |
j |
27648000/1717 |
j-invariant |
L |
4.4241884440139 |
L(r)(E,1)/r! |
Ω |
2.0672298889582 |
Real period |
R |
2.1401530824233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888j1 27472n1 |
Quadratic twists by: -4 8 |