Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65824f |
Isogeny class |
Conductor |
65824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
1927458368 = 26 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ -2 4 -4 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-766,7632] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:20:1] |
Generators of the group modulo torsion |
j |
438976/17 |
j-invariant |
L |
5.1559602721595 |
L(r)(E,1)/r! |
Ω |
1.4663422589727 |
Real period |
R |
3.5162051969311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65824e1 544f1 |
Quadratic twists by: -4 -11 |