Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024a |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-35721216 = -1 · 212 · 33 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,288] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] |
Generators of the group modulo torsion |
j |
-1728/323 |
j-invariant |
L |
9.3566532849338 |
L(r)(E,1)/r! |
Ω |
1.6834969450569 |
Real period |
R |
0.69473346148094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93024v1 93024w1 |
Quadratic twists by: -4 -3 |