Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840bk |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
775946240 = 222 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332,-1904] |
[a1,a2,a3,a4,a6] |
j |
15438249/2960 |
j-invariant |
L |
1.1333386112946 |
L(r)(E,1)/r! |
Ω |
1.1333386112946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11840o1 2960e1 106560et1 59200bx1 |
Quadratic twists by: -4 8 -3 5 |