Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325z |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1325014453125 = -1 · 38 · 58 · 11 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,56241] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-237:1] |
Generators of the group modulo torsion |
j |
-4826809/116325 |
j-invariant |
L |
4.0761124655704 |
L(r)(E,1)/r! |
Ω |
0.71913266128755 |
Real period |
R |
1.4170238509702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998364764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38775k1 23265u1 |
Quadratic twists by: -3 5 |