Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368r |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
67959478038672 = 24 · 310 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10204,-13543] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:459:1] [-37:-561:1] |
Generators of the group modulo torsion |
j |
501633924352/290107737 |
j-invariant |
L |
9.6985921269131 |
L(r)(E,1)/r! |
Ω |
0.52003034211277 |
Real period |
R |
0.1036113915062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736r1 49368bd1 |
Quadratic twists by: -4 -11 |