Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bi |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-79676784 = -1 · 24 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93,551] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:27:1] |
Generators of the group modulo torsion |
j |
-7626496/6831 |
j-invariant |
L |
4.7561080441486 |
L(r)(E,1)/r! |
Ω |
1.7622135995553 |
Real period |
R |
0.67473489668754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9108q1 12144y1 |
Quadratic twists by: -4 -3 |