Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840bn |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
48496640 = 218 · 5 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1183] |
[a1,a2,a3,a4,a6] |
j |
4826809/185 |
j-invariant |
L |
1.9933315481683 |
L(r)(E,1)/r! |
Ω |
1.9933315481683 |
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 |
11840s1 2960g1 106560ew1 59200ck1 |
Quadratic twists by: -4 8 -3 5 |