Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840bj |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
15155200 = 214 · 52 · 37 |
Discriminant |
Eigenvalues |
2- -3 5- 5 -3 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112,-416] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] |
Generators of the group modulo torsion |
j |
9483264/925 |
j-invariant |
L |
3.5884300843128 |
L(r)(E,1)/r! |
Ω |
1.4767604159552 |
Real period |
R |
1.2149669118778 |
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 |
11840n1 2960a1 106560eo1 59200dh1 |
Quadratic twists by: -4 8 -3 5 |