Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402j |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-13140057850489856 = -1 · 210 · 117 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ -1 1 0 11- 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17543,-5434843] |
[a1,a2,a3,a4,a6] |
Generators |
[5574:68845:27] |
Generators of the group modulo torsion |
j |
337008232079/7417220096 |
j-invariant |
L |
4.1020019125805 |
L(r)(E,1)/r! |
Ω |
0.19332633343806 |
Real period |
R |
0.88408414206683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582m1 |
Quadratic twists by: -11 |