Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466cj |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-749252833056 = -1 · 25 · 37 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3317,-83667] |
[a1,a2,a3,a4,a6] |
Generators |
[107:828:1] |
Generators of the group modulo torsion |
j |
-47045881/8736 |
j-invariant |
L |
7.2993421991801 |
L(r)(E,1)/r! |
Ω |
0.31141545284864 |
Real period |
R |
0.5859810529961 |
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 |
91728ff1 3822h1 1638o1 |
Quadratic twists by: -4 -3 -7 |