Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840s |
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] |
Generators |
[4611:59840:27] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
6.5530523046041 |
L(r)(E,1)/r! |
Ω |
1.2351425312557 |
Real period |
R |
5.3055029187135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11840bn1 185c1 106560bw1 59200o1 |
Quadratic twists by: -4 8 -3 5 |