Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4662a |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
111888 = 24 · 33 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
7414875/4144 |
j-invariant |
L |
2.6895975601607 |
L(r)(E,1)/r! |
Ω |
2.7440987479256 |
Real period |
R |
0.98013876584941 |
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 |
37296bi1 4662j1 116550dh1 32634b1 |
Quadratic twists by: -4 -3 5 -7 |