Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9324a |
Isogeny class |
Conductor |
9324 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
755385985872 = 24 · 312 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4080,91177] |
[a1,a2,a3,a4,a6] |
Generators |
[8:243:1] |
Generators of the group modulo torsion |
j |
643956736000/64762173 |
j-invariant |
L |
4.5028429465406 |
L(r)(E,1)/r! |
Ω |
0.87311349542807 |
Real period |
R |
0.85953753819313 |
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 |
37296cd1 3108e1 65268e1 |
Quadratic twists by: -4 -3 -7 |