Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7436c |
Isogeny class |
Conductor |
7436 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-13592294144 = -1 · 28 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 1 3 -2 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,451,-4081] |
[a1,a2,a3,a4,a6] |
Generators |
[1930:10309:125] |
Generators of the group modulo torsion |
j |
8192/11 |
j-invariant |
L |
5.4934324044542 |
L(r)(E,1)/r! |
Ω |
0.66950618041434 |
Real period |
R |
4.1026002187571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744o1 118976i1 66924k1 81796f1 |
Quadratic twists by: -4 8 -3 -11 |